5,146,726

2 × 13² × 15227

5,146,726 factors as 2 × 13^2 × 15227. Its 12 positive divisors give a proper-divisor sum of 3,213,446, so this integer is deficient. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 2 × 13^2 × 15227

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,360,172

Proper Divisor Sum 3,213,446

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #5146721 ← → #5146727

Radix Representation

Decimal	5146726
Binary	10011101000100001100110 (23 bits)
Octal	0o23504146
Hexadecimal	0x4E8866

Divisor Catalog (12)

1 2 13 26 169 338 15,227 30,454 197,951 395,902 2,573,363 5,146,726

Collatz Trajectory (100 steps to reach 1)

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

5,146,726 2,573,363 7,720,090 3,860,045 11,580,136 5,790,068 2,895,034 1,447,517 4,342,552 2,171,276 1,085,638 542,819 1,628,458 814,229 2,442,688 1,221,344 610,672 305,336 152,668 76,334 38,167 114,502 57,251 171,754 85,877 257,632 128,816 64,408 32,204 16,102 8,051 24,154 12,077 36,232 18,116 9,058 4,529 13,588 6,794 3,397 10,192 5,096 2,548 1,274 637 1,912 956 478 239 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911

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