λ
Harmonic Matrix

2,752,908

22 × 3 × 229409
Abundant Even Composite

2,752,908 has digital root 6. The neighboring primes are 2752901 and 2752909; its proper-divisor sum differs from the starting integer by 917,664.

Prime Factor Structure

Factorization String 2^2 × 3 × 229409
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,423,480
Proper Divisor Sum 3,670,572
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2752901 ← → #2752909

Radix Representation

Decimal 2752908
Binary 1010100000000110001100 (22 bits)
Octal 0o12400614
Hexadecimal 0x2A018C

Divisor Catalog (12)

1 2 3 4 6 12 229,409 458,818 688,227 917,636 1,376,454 2,752,908

Collatz Trajectory (187 steps to reach 1)

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

2,752,908 1,376,454 688,227 2,064,682 1,032,341 3,097,024 1,548,512 774,256 387,128 193,564 96,782 48,391 145,174 72,587 217,762 108,881 326,644 163,322 81,661 244,984 122,492 61,246 30,623 91,870 45,935 137,806 68,903 206,710 103,355 310,066 155,033 465,100 232,550 116,275 348,826 174,413 523,240 261,620 130,810 65,405 196,216 98,108 49,054 24,527 73,582 36,791 110,374 55,187 165,562 82,781 248,344 124,172 62,086 31,043 93,130 46,565 139,696 69,848 34,924 17,462

More profiles

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