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Atlas › Integer Profiles › Node 61,358,784

61,358,784

26 × 3 × 319577
Abundant Even Composite

61,358,784 factors as 2^6 × 3 × 319577. Its 28 positive divisors give a proper-divisor sum of 100,986,840, so this integer is abundant. The Collatz stopping time is 220 steps.

Prime Factor Structure

Factorization String 2^6 × 3 × 319577
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 162,345,624
Proper Divisor Sum 100,986,840
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #61358783 ← → #61358833

Radix Representation

Decimal 61358784
Binary 11101010000100001011000000 (26 bits)
Octal 0o352041300
Hexadecimal 0x3A842C0

Divisor Catalog (28)

1 2 3 4 6 8 12 16 24 32 48 64 96 192 319,577 639,154 958,731 1,278,308 1,917,462 2,556,616 3,834,924 5,113,232 7,669,848 10,226,464 15,339,696 20,452,928 30,679,392 61,358,784

Collatz Trajectory (220 steps to reach 1)

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

61,358,784 30,679,392 15,339,696 7,669,848 3,834,924 1,917,462 958,731 2,876,194 1,438,097 4,314,292 2,157,146 1,078,573 3,235,720 1,617,860 808,930 404,465 1,213,396 606,698 303,349 910,048 455,024 227,512 113,756 56,878 28,439 85,318 42,659 127,978 63,989 191,968 95,984 47,992 23,996 11,998 5,999 17,998 8,999 26,998 13,499 40,498 20,249 60,748 30,374 15,187 45,562 22,781 68,344 34,172 17,086 8,543 25,630 12,815 38,446 19,223 57,670 28,835 86,506 43,253 129,760 64,880

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