12,477,232

2⁴ × 779827

12,477,232 factors as 2^4 × 779827. Its 10 positive divisors give a proper-divisor sum of 11,697,436, so this integer is deficient. The Collatz stopping time is 197 steps.

Prime Factor Structure

Factorization String 2^4 × 779827

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 24,174,668

Proper Divisor Sum 11,697,436

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #12477229 ← → #12477239

Radix Representation

Decimal	12477232
Binary	101111100110001100110000 (24 bits)
Octal	0o57461460
Hexadecimal	0xBE6330

Divisor Catalog (10)

1 2 4 8 16 779,827 1,559,654 3,119,308 6,238,616 12,477,232

Collatz Trajectory (197 steps to reach 1)

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

12,477,232 6,238,616 3,119,308 1,559,654 779,827 2,339,482 1,169,741 3,509,224 1,754,612 877,306 438,653 1,315,960 657,980 328,990 164,495 493,486 246,743 740,230 370,115 1,110,346 555,173 1,665,520 832,760 416,380 208,190 104,095 312,286 156,143 468,430 234,215 702,646 351,323 1,053,970 526,985 1,580,956 790,478 395,239 1,185,718 592,859 1,778,578 889,289 2,667,868 1,333,934 666,967 2,000,902 1,000,451 3,001,354 1,500,677 4,502,032 2,251,016 1,125,508 562,754 281,377 844,132 422,066 211,033 633,100 316,550 158,275 474,826

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