3,932,148

2² × 3 × 11 × 29789

3,932,148 factors as 2^2 × 3 × 11 × 29789. Its 24 positive divisors give a proper-divisor sum of 6,077,292, so this integer is abundant. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 29789

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,009,440

Proper Divisor Sum 6,077,292

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3932147 ← → #3932153

Radix Representation

Decimal	3932148
Binary	1110111111111111110100 (22 bits)
Octal	0o16777764
Hexadecimal	0x3BFFF4

Divisor Catalog (24)

Collatz Trajectory (198 steps to reach 1)

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

3,932,148 1,966,074 983,037 2,949,112 1,474,556 737,278 368,639 1,105,918 552,959 1,658,878 829,439 2,488,318 1,244,159 3,732,478 1,866,239 5,598,718 2,799,359 8,398,078 4,199,039 12,597,118 6,298,559 18,895,678 9,447,839 28,343,518 14,171,759 42,515,278 21,257,639 63,772,918 31,886,459 95,659,378 47,829,689 143,489,068 71,744,534 35,872,267 107,616,802 53,808,401 161,425,204 80,712,602 40,356,301 121,068,904 60,534,452 30,267,226 15,133,613 45,400,840 22,700,420 11,350,210 5,675,105 17,025,316 8,512,658 4,256,329 12,768,988 6,384,494 3,192,247 9,576,742 4,788,371 14,365,114 7,182,557 21,547,672 10,773,836 5,386,918

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