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Atlas › Integer Profiles › Node 61,645,644

61,645,644

22 × 33 × 457 × 1249
Abundant Even Composite

61,645,644 factors as 2^2 × 3^3 × 457 × 1249. Its 48 positive divisors give a proper-divisor sum of 98,654,356, so this integer is abundant. The Collatz stopping time is 127 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 457 × 1249
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 160,300,000
Proper Divisor Sum 98,654,356
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #61645643 ← → #61645651

Radix Representation

Decimal 61645644
Binary 11101011001010001101001100 (26 bits)
Octal 0o353121514
Hexadecimal 0x3ACA34C

Divisor Catalog (48)

1 2 3 4 6 9 12 18 27 36 54 108 457 914 1,249 1,371 1,828 2,498 2,742 3,747 4,113 4,996 5,484 7,494 8,226 11,241 12,339 14,988 16,452 22,482 24,678 33,723 44,964 49,356 67,446 134,892 570,793 1,141,586 1,712,379 2,283,172 3,424,758 5,137,137 6,849,516 10,274,274 15,411,411 20,548,548 30,822,822 61,645,644

Collatz Trajectory (127 steps to reach 1)

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

61,645,644 30,822,822 15,411,411 46,234,234 23,117,117 69,351,352 34,675,676 17,337,838 8,668,919 26,006,758 13,003,379 39,010,138 19,505,069 58,515,208 29,257,604 14,628,802 7,314,401 21,943,204 10,971,602 5,485,801 16,457,404 8,228,702 4,114,351 12,343,054 6,171,527 18,514,582 9,257,291 27,771,874 13,885,937 41,657,812 20,828,906 10,414,453 31,243,360 15,621,680 7,810,840 3,905,420 1,952,710 976,355 2,929,066 1,464,533 4,393,600 2,196,800 1,098,400 549,200 274,600 137,300 68,650 34,325 102,976 51,488 25,744 12,872 6,436 3,218 1,609 4,828 2,414 1,207 3,622 1,811

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