32,003,152

2⁴ × 1283 × 1559

32,003,152 factors as 2^4 × 1283 × 1559. Its 20 positive divisors give a proper-divisor sum of 30,091,088, so this integer is deficient. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 2^4 × 1283 × 1559

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 62,094,240

Proper Divisor Sum 30,091,088

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #32003131 ← → #32003161

Radix Representation

Decimal	32003152
Binary	1111010000101010001010000 (25 bits)
Octal	0o172052120
Hexadecimal	0x1E85450

Divisor Catalog (20)

Collatz Trajectory (144 steps to reach 1)

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

32,003,152 16,001,576 8,000,788 4,000,394 2,000,197 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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