4,729,432

2³ × 41 × 14419

4,729,432 factors as 2^3 × 41 × 14419. Its 16 positive divisors give a proper-divisor sum of 4,355,168, so this integer is deficient. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 2^3 × 41 × 14419

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,084,600

Proper Divisor Sum 4,355,168

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4729427 ← → #4729433

Radix Representation

Decimal	4729432
Binary	10010000010101001011000 (23 bits)
Octal	0o22025130
Hexadecimal	0x482A58

Divisor Catalog (16)

1 2 4 8 41 82 164 328 14,419 28,838 57,676 115,352 591,179 1,182,358 2,364,716 4,729,432

Collatz Trajectory (100 steps to reach 1)

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

4,729,432 2,364,716 1,182,358 591,179 1,773,538 886,769 2,660,308 1,330,154 665,077 1,995,232 997,616 498,808 249,404 124,702 62,351 187,054 93,527 280,582 140,291 420,874 210,437 631,312 315,656 157,828 78,914 39,457 118,372 59,186 29,593 88,780 44,390 22,195 66,586 33,293 99,880 49,940 24,970 12,485 37,456 18,728 9,364 4,682 2,341 7,024 3,512 1,756 878 439 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836

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