12,876,216

2³ × 3 × 536509

12,876,216 factors as 2^3 × 3 × 536509. Its 16 positive divisors give a proper-divisor sum of 19,314,384, so this integer is abundant. The Collatz stopping time is 122 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 536509

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 32,190,600

Proper Divisor Sum 19,314,384

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #12876211 ← → #12876229

Radix Representation

Decimal	12876216
Binary	110001000111100110111000 (24 bits)
Octal	0o61074670
Hexadecimal	0xC479B8

Divisor Catalog (16)

1 2 3 4 6 8 12 24 536,509 1,073,018 1,609,527 2,146,036 3,219,054 4,292,072 6,438,108 12,876,216

Collatz Trajectory (122 steps to reach 1)

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

12,876,216 6,438,108 3,219,054 1,609,527 4,828,582 2,414,291 7,242,874 3,621,437 10,864,312 5,432,156 2,716,078 1,358,039 4,074,118 2,037,059 6,111,178 3,055,589 9,166,768 4,583,384 2,291,692 1,145,846 572,923 1,718,770 859,385 2,578,156 1,289,078 644,539 1,933,618 966,809 2,900,428 1,450,214 725,107 2,175,322 1,087,661 3,262,984 1,631,492 815,746 407,873 1,223,620 611,810 305,905 917,716 458,858 229,429 688,288 344,144 172,072 86,036 43,018 21,509 64,528 32,264 16,132 8,066 4,033 12,100 6,050 3,025 9,076 4,538 2,269

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