12,377,024

2⁶ × 11 × 17581

12,377,024 factors as 2^6 × 11 × 17581. Its 28 positive divisors give a proper-divisor sum of 14,417,944, so this integer is abundant. The Collatz stopping time is 197 steps.

Prime Factor Structure

Factorization String 2^6 × 11 × 17581

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 26,794,968

Proper Divisor Sum 14,417,944

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #12377021 ← → #12377033

Radix Representation

Decimal	12377024
Binary	101111001101101111000000 (24 bits)
Octal	0o57155700
Hexadecimal	0xBCDBC0

Divisor Catalog (28)

Collatz Trajectory (197 steps to reach 1)

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

12,377,024 6,188,512 3,094,256 1,547,128 773,564 386,782 193,391 580,174 290,087 870,262 435,131 1,305,394 652,697 1,958,092 979,046 489,523 1,468,570 734,285 2,202,856 1,101,428 550,714 275,357 826,072 413,036 206,518 103,259 309,778 154,889 464,668 232,334 116,167 348,502 174,251 522,754 261,377 784,132 392,066 196,033 588,100 294,050 147,025 441,076 220,538 110,269 330,808 165,404 82,702 41,351 124,054 62,027 186,082 93,041 279,124 139,562 69,781 209,344 104,672 52,336 26,168 13,084

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