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12,418,624

26 × 61 × 3181
Abundant Even Composite

12,418,624 factors as 2^6 × 61 × 3181. Its 28 positive divisors give a proper-divisor sum of 12,636,444, so this integer is abundant. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 2^6 × 61 × 3181
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 25,055,068
Proper Divisor Sum 12,636,444
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #12418579 ← → #12418633

Radix Representation

Decimal 12418624
Binary 101111010111111001000000 (24 bits)
Octal 0o57277100
Hexadecimal 0xBD7E40

Divisor Catalog (28)

1 2 4 8 16 32 61 64 122 244 488 976 1,952 3,181 3,904 6,362 12,724 25,448 50,896 101,792 194,041 203,584 388,082 776,164 1,552,328 3,104,656 6,209,312 12,418,624

Collatz Trajectory (135 steps to reach 1)

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

12,418,624 6,209,312 3,104,656 1,552,328 776,164 388,082 194,041 582,124 291,062 145,531 436,594 218,297 654,892 327,446 163,723 491,170 245,585 736,756 368,378 184,189 552,568 276,284 138,142 69,071 207,214 103,607 310,822 155,411 466,234 233,117 699,352 349,676 174,838 87,419 262,258 131,129 393,388 196,694 98,347 295,042 147,521 442,564 221,282 110,641 331,924 165,962 82,981 248,944 124,472 62,236 31,118 15,559 46,678 23,339 70,018 35,009 105,028 52,514 26,257 78,772

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