29,958,005

5 × 7 × 11 × 77813

29,958,005 factors as 5 × 7 × 11 × 77813. Its 16 positive divisors give a proper-divisor sum of 14,862,859, so this integer is deficient. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 5 × 7 × 11 × 77813

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 44,820,864

Proper Divisor Sum 14,862,859

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #29958001 ← → #29958011

Radix Representation

Decimal	29958005
Binary	1110010010001111101110101 (25 bits)
Octal	0o162217565
Hexadecimal	0x1C91F75

Divisor Catalog (16)

1 5 7 11 35 55 77 385 77,813 389,065 544,691 855,943 2,723,455 4,279,715 5,991,601 29,958,005

Collatz Trajectory (162 steps to reach 1)

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

29,958,005 89,874,016 44,937,008 22,468,504 11,234,252 5,617,126 2,808,563 8,425,690 4,212,845 12,638,536 6,319,268 3,159,634 1,579,817 4,739,452 2,369,726 1,184,863 3,554,590 1,777,295 5,331,886 2,665,943 7,997,830 3,998,915 11,996,746 5,998,373 17,995,120 8,997,560 4,498,780 2,249,390 1,124,695 3,374,086 1,687,043 5,061,130 2,530,565 7,591,696 3,795,848 1,897,924 948,962 474,481 1,423,444 711,722 355,861 1,067,584 533,792 266,896 133,448 66,724 33,362 16,681 50,044 25,022 12,511 37,534 18,767 56,302 28,151 84,454 42,227 126,682 63,341 190,024

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