29,323,129

11 × 37 × 72047

29,323,129 factors as 11 × 37 × 72047. Its 8 positive divisors give a proper-divisor sum of 3,530,759, so this integer is deficient. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 11 × 37 × 72047

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 32,853,888

Proper Divisor Sum 3,530,759

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #29323123 ← → #29323163

Radix Representation

Decimal	29323129
Binary	1101111110110111101111001 (25 bits)
Octal	0o157667571
Hexadecimal	0x1BF6F79

Divisor Catalog (8)

1 11 37 407 72,047 792,517 2,665,739 29,323,129

Collatz Trajectory (175 steps to reach 1)

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

29,323,129 87,969,388 43,984,694 21,992,347 65,977,042 32,988,521 98,965,564 49,482,782 24,741,391 74,224,174 37,112,087 111,336,262 55,668,131 167,004,394 83,502,197 250,506,592 125,253,296 62,626,648 31,313,324 15,656,662 7,828,331 23,484,994 11,742,497 35,227,492 17,613,746 8,806,873 26,420,620 13,210,310 6,605,155 19,815,466 9,907,733 29,723,200 14,861,600 7,430,800 3,715,400 1,857,700 928,850 464,425 1,393,276 696,638 348,319 1,044,958 522,479 1,567,438 783,719 2,351,158 1,175,579 3,526,738 1,763,369 5,290,108 2,645,054 1,322,527 3,967,582 1,983,791 5,951,374 2,975,687 8,927,062 4,463,531 13,390,594 6,695,297

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