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Atlas › Integer Profiles › Node 13,596,456

13,596,456

23 × 3 × 397 × 1427
Abundant Even Composite

13,596,456 factors as 2^3 × 3 × 397 × 1427. Its 32 positive divisors give a proper-divisor sum of 20,504,184, so this integer is abundant. The Collatz stopping time is 86 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 397 × 1427
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 34,100,640
Proper Divisor Sum 20,504,184
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #13596449 ← → #13596467

Radix Representation

Decimal 13596456
Binary 110011110111011100101000 (24 bits)
Octal 0o63673450
Hexadecimal 0xCF7728

Divisor Catalog (32)

1 2 3 4 6 8 12 24 397 794 1,191 1,427 1,588 2,382 2,854 3,176 4,281 4,764 5,708 8,562 9,528 11,416 17,124 34,248 566,519 1,133,038 1,699,557 2,266,076 3,399,114 4,532,152 6,798,228 13,596,456

Collatz Trajectory (86 steps to reach 1)

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

13,596,456 6,798,228 3,399,114 1,699,557 5,098,672 2,549,336 1,274,668 637,334 318,667 956,002 478,001 1,434,004 717,002 358,501 1,075,504 537,752 268,876 134,438 67,219 201,658 100,829 302,488 151,244 75,622 37,811 113,434 56,717 170,152 85,076 42,538 21,269 63,808 31,904 15,952 7,976 3,988 1,994 997 2,992 1,496 748 374 187 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404

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