5,072,684

2² × 41 × 30931

5,072,684 factors as 2^2 × 41 × 30931. Its 12 positive divisors give a proper-divisor sum of 4,021,324, so this integer is deficient. The Collatz stopping time is 157 steps.

Prime Factor Structure

Factorization String 2^2 × 41 × 30931

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,094,008

Proper Divisor Sum 4,021,324

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #5072671 ← → #5072687

Radix Representation

Decimal	5072684
Binary	10011010110011100101100 (23 bits)
Octal	0o23263454
Hexadecimal	0x4D672C

Divisor Catalog (12)

1 2 4 41 82 164 30,931 61,862 123,724 1,268,171 2,536,342 5,072,684

Collatz Trajectory (157 steps to reach 1)

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

5,072,684 2,536,342 1,268,171 3,804,514 1,902,257 5,706,772 2,853,386 1,426,693 4,280,080 2,140,040 1,070,020 535,010 267,505 802,516 401,258 200,629 601,888 300,944 150,472 75,236 37,618 18,809 56,428 28,214 14,107 42,322 21,161 63,484 31,742 15,871 47,614 23,807 71,422 35,711 107,134 53,567 160,702 80,351 241,054 120,527 361,582 180,791 542,374 271,187 813,562 406,781 1,220,344 610,172 305,086 152,543 457,630 228,815 686,446 343,223 1,029,670 514,835 1,544,506 772,253 2,316,760 1,158,380

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