λ
Harmonic Matrix

4,726,640

24 × 5 × 59083
Abundant Even Composite

4,726,640 has digital root 2. The neighboring primes are 4726619 and 4726669; its proper-divisor sum differs from the starting integer by 1,536,344.

Prime Factor Structure

Factorization String 2^4 × 5 × 59083
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 10,989,624
Proper Divisor Sum 6,262,984
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4726619 ← → #4726669

Radix Representation

Decimal 4726640
Binary 10010000001111101110000 (23 bits)
Octal 0o22017560
Hexadecimal 0x481F70

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 59,083 118,166 236,332 295,415 472,664 590,830 945,328 1,181,660 2,363,320 4,726,640

Collatz Trajectory (87 steps to reach 1)

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

4,726,640 2,363,320 1,181,660 590,830 295,415 886,246 443,123 1,329,370 664,685 1,994,056 997,028 498,514 249,257 747,772 373,886 186,943 560,830 280,415 841,246 420,623 1,261,870 630,935 1,892,806 946,403 2,839,210 1,419,605 4,258,816 2,129,408 1,064,704 532,352 266,176 133,088 66,544 33,272 16,636 8,318 4,159 12,478 6,239 18,718 9,359 28,078 14,039 42,118 21,059 63,178 31,589 94,768 47,384 23,692 11,846 5,923 17,770 8,885 26,656 13,328 6,664 3,332 1,666 833

More profiles

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