29,645,848

2³ × 59 × 107 × 587

29,645,848 factors as 2^3 × 59 × 107 × 587. Its 32 positive divisors give a proper-divisor sum of 27,507,752, so this integer is deficient. The Collatz stopping time is 219 steps.

Prime Factor Structure

Factorization String 2^3 × 59 × 107 × 587

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 57,153,600

Proper Divisor Sum 27,507,752

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #29645821 ← → #29645867

Radix Representation

Decimal	29645848
Binary	1110001000101110000011000 (25 bits)
Octal	0o161056030
Hexadecimal	0x1C45C18

Divisor Catalog (32)

Collatz Trajectory (219 steps to reach 1)

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

29,645,848 14,822,924 7,411,462 3,705,731 11,117,194 5,558,597 16,675,792 8,337,896 4,168,948 2,084,474 1,042,237 3,126,712 1,563,356 781,678 390,839 1,172,518 586,259 1,758,778 879,389 2,638,168 1,319,084 659,542 329,771 989,314 494,657 1,483,972 741,986 370,993 1,112,980 556,490 278,245 834,736 417,368 208,684 104,342 52,171 156,514 78,257 234,772 117,386 58,693 176,080 88,040 44,020 22,010 11,005 33,016 16,508 8,254 4,127 12,382 6,191 18,574 9,287 27,862 13,931 41,794 20,897 62,692 31,346

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