32,003,157

3 × 421 × 25339

32,003,157 factors as 3 × 421 × 25339. Its 8 positive divisors give a proper-divisor sum of 10,770,763, so this integer is deficient. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 3 × 421 × 25339

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 42,773,920

Proper Divisor Sum 10,770,763

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #32003131 ← → #32003161

Radix Representation

Decimal	32003157
Binary	1111010000101010001010101 (25 bits)
Octal	0o172052125
Hexadecimal	0x1E85455

Divisor Catalog (8)

1 3 421 1,263 25,339 76,017 10,667,719 32,003,157

Collatz Trajectory (144 steps to reach 1)

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

32,003,157 96,009,472 48,004,736 24,002,368 12,001,184 6,000,592 3,000,296 1,500,148 750,074 375,037 1,125,112 562,556 281,278 140,639 421,918 210,959 632,878 316,439 949,318 474,659 1,423,978 711,989 2,135,968 1,067,984 533,992 266,996 133,498 66,749 200,248 100,124 50,062 25,031 75,094 37,547 112,642 56,321 168,964 84,482 42,241 126,724 63,362 31,681 95,044 47,522 23,761 71,284 35,642 17,821 53,464 26,732 13,366 6,683 20,050 10,025 30,076 15,038 7,519 22,558 11,279 33,838

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