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Atlas › Integer Profiles › Node 8,596,152

8,596,152

23 × 33 × 17 × 2341
Abundant Even Composite

8,596,152 factors as 2^3 × 3^3 × 17 × 2341. Its 64 positive divisors give a proper-divisor sum of 16,697,448, so this integer is abundant. The Collatz stopping time is 243 steps.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 17 × 2341
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 25,293,600
Proper Divisor Sum 16,697,448
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8596127 ← → #8596153

Radix Representation

Decimal 8596152
Binary 100000110010101010111000 (24 bits)
Octal 0o40625270
Hexadecimal 0x832AB8

Divisor Catalog (60 of 64)

1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1,224 1,836 2,341 3,672 4,682 7,023 9,364 14,046 18,728 21,069 28,092 39,797 42,138 56,184 63,207 79,594 84,276 119,391 126,414 159,188 168,552 238,782 252,828 318,376 358,173 477,564 505,656 716,346 955,128 1,074,519 1,432,692

Collatz Trajectory (243 steps to reach 1)

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

8,596,152 4,298,076 2,149,038 1,074,519 3,223,558 1,611,779 4,835,338 2,417,669 7,253,008 3,626,504 1,813,252 906,626 453,313 1,359,940 679,970 339,985 1,019,956 509,978 254,989 764,968 382,484 191,242 95,621 286,864 143,432 71,716 35,858 17,929 53,788 26,894 13,447 40,342 20,171 60,514 30,257 90,772 45,386 22,693 68,080 34,040 17,020 8,510 4,255 12,766 6,383 19,150 9,575 28,726 14,363 43,090 21,545 64,636 32,318 16,159 48,478 24,239 72,718 36,359 109,078 54,539

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