4,377,672

2³ × 3³ × 13 × 1559

4,377,672 has the prime decomposition 2^3 × 3^3 × 13 × 1559. Its 4 distinct prime factors produce 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 13 × 1559

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 13,104,000

Proper Divisor Sum 8,726,328

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4377671 ← → #4377673

Radix Representation

Decimal	4377672
Binary	10000101100110001001000 (23 bits)
Octal	0o20546110
Hexadecimal	0x42CC48

Divisor Catalog (60 of 64)

1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1,404 1,559 2,808 3,118 4,677 6,236 9,354 12,472 14,031 18,708 20,267 28,062 37,416 40,534 42,093 56,124 60,801 81,068 84,186 112,248 121,602 162,136 168,372 182,403 243,204 336,744 364,806 486,408 547,209 729,612

Collatz Trajectory (224 steps to reach 1)

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

4,377,672 2,188,836 1,094,418 547,209 1,641,628 820,814 410,407 1,231,222 615,611 1,846,834 923,417 2,770,252 1,385,126 692,563 2,077,690 1,038,845 3,116,536 1,558,268 779,134 389,567 1,168,702 584,351 1,753,054 876,527 2,629,582 1,314,791 3,944,374 1,972,187 5,916,562 2,958,281 8,874,844 4,437,422 2,218,711 6,656,134 3,328,067 9,984,202 4,992,101 14,976,304 7,488,152 3,744,076 1,872,038 936,019 2,808,058 1,404,029 4,212,088 2,106,044 1,053,022 526,511 1,579,534 789,767 2,369,302 1,184,651 3,553,954 1,776,977 5,330,932 2,665,466 1,332,733 3,998,200 1,999,100 999,550

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