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Atlas › Integer Profiles › Node 1,253,232

1,253,232

24 × 34 × 967
Abundant Even Composite

1,253,232 factors as 2^4 × 3^4 × 967. Its 50 positive divisors give a proper-divisor sum of 2,377,736, so this integer is abundant. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^4 × 3^4 × 967
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 50
Divisor Sum (σ) 3,630,968
Proper Divisor Sum 2,377,736
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1253171 ← → #1253249

Radix Representation

Decimal 1253232
Binary 100110001111101110000 (21 bits)
Octal 0o4617560
Hexadecimal 0x131F70

Divisor Catalog (50)

1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 967 1,296 1,934 2,901 3,868 5,802 7,736 8,703 11,604 15,472 17,406 23,208 26,109 34,812 46,416 52,218 69,624 78,327 104,436 139,248 156,654 208,872 313,308 417,744 626,616 1,253,232

Collatz Trajectory (85 steps to reach 1)

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

1,253,232 626,616 313,308 156,654 78,327 234,982 117,491 352,474 176,237 528,712 264,356 132,178 66,089 198,268 99,134 49,567 148,702 74,351 223,054 111,527 334,582 167,291 501,874 250,937 752,812 376,406 188,203 564,610 282,305 846,916 423,458 211,729 635,188 317,594 158,797 476,392 238,196 119,098 59,549 178,648 89,324 44,662 22,331 66,994 33,497 100,492 50,246 25,123 75,370 37,685 113,056 56,528 28,264 14,132 7,066 3,533 10,600 5,300 2,650 1,325

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