29,575,475

5² × 67 × 17657

29,575,475 factors as 5^2 × 67 × 17657. Its 12 positive divisors give a proper-divisor sum of 7,647,589, so this integer is deficient. The Collatz stopping time is 206 steps.

Prime Factor Structure

Factorization String 5^2 × 67 × 17657

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 37,223,064

Proper Divisor Sum 7,647,589

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #29575471 ← → #29575489

Radix Representation

Decimal	29575475
Binary	1110000110100100100110011 (25 bits)
Octal	0o160644463
Hexadecimal	0x1C34933

Divisor Catalog (12)

1 5 25 67 335 1,675 17,657 88,285 441,425 1,183,019 5,915,095 29,575,475

Collatz Trajectory (206 steps to reach 1)

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

29,575,475 88,726,426 44,363,213 133,089,640 66,544,820 33,272,410 16,636,205 49,908,616 24,954,308 12,477,154 6,238,577 18,715,732 9,357,866 4,678,933 14,036,800 7,018,400 3,509,200 1,754,600 877,300 438,650 219,325 657,976 328,988 164,494 82,247 246,742 123,371 370,114 185,057 555,172 277,586 138,793 416,380 208,190 104,095 312,286 156,143 468,430 234,215 702,646 351,323 1,053,970 526,985 1,580,956 790,478 395,239 1,185,718 592,859 1,778,578 889,289 2,667,868 1,333,934 666,967 2,000,902 1,000,451 3,001,354 1,500,677 4,502,032 2,251,016 1,125,508

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