λ
Harmonic Matrix

4,378,878

2 × 32 × 7 × 23 × 1511
Abundant Even Composite

4,378,878 has digital root 9. The neighboring primes are 4378837 and 4378897; its proper-divisor sum differs from the starting integer by 2,564,100.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 23 × 1511
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,321,856
Proper Divisor Sum 6,942,978
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #4378837 ← → #4378897

Radix Representation

Decimal 4378878
Binary 10000101101000011111110 (23 bits)
Octal 0o20550376
Hexadecimal 0x42D0FE

Divisor Catalog (48)

1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 207 322 414 483 966 1,449 1,511 2,898 3,022 4,533 9,066 10,577 13,599 21,154 27,198 31,731 34,753 63,462 69,506 95,193 104,259 190,386 208,518 243,271 312,777 486,542 625,554 729,813 1,459,626 2,189,439 4,378,878

Collatz Trajectory (172 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

4,378,878 2,189,439 6,568,318 3,284,159 9,852,478 4,926,239 14,778,718 7,389,359 22,168,078 11,084,039 33,252,118 16,626,059 49,878,178 24,939,089 74,817,268 37,408,634 18,704,317 56,112,952 28,056,476 14,028,238 7,014,119 21,042,358 10,521,179 31,563,538 15,781,769 47,345,308 23,672,654 11,836,327 35,508,982 17,754,491 53,263,474 26,631,737 79,895,212 39,947,606 19,973,803 59,921,410 29,960,705 89,882,116 44,941,058 22,470,529 67,411,588 33,705,794 16,852,897 50,558,692 25,279,346 12,639,673 37,919,020 18,959,510 9,479,755 28,439,266 14,219,633 42,658,900 21,329,450 10,664,725 31,994,176 15,997,088 7,998,544 3,999,272 1,999,636 999,818

More profiles

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