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Atlas › Integer Profiles › Node 61,318,004

61,318,004

22 × 11 × 311 × 4481
Deficient Even Composite

61,318,004 factors as 2^2 × 11 × 311 × 4481. Its 24 positive divisors give a proper-divisor sum of 56,146,252, so this integer is deficient. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 311 × 4481
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 117,464,256
Proper Divisor Sum 56,146,252
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #61318003 ← → #61318007

Radix Representation

Decimal 61318004
Binary 11101001111010001101110100 (26 bits)
Octal 0o351721564
Hexadecimal 0x3A7A374

Divisor Catalog (24)

1 2 4 11 22 44 311 622 1,244 3,421 4,481 6,842 8,962 13,684 17,924 49,291 98,582 197,164 1,393,591 2,787,182 5,574,364 15,329,501 30,659,002 61,318,004

Collatz Trajectory (114 steps to reach 1)

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

61,318,004 30,659,002 15,329,501 45,988,504 22,994,252 11,497,126 5,748,563 17,245,690 8,622,845 25,868,536 12,934,268 6,467,134 3,233,567 9,700,702 4,850,351 14,551,054 7,275,527 21,826,582 10,913,291 32,739,874 16,369,937 49,109,812 24,554,906 12,277,453 36,832,360 18,416,180 9,208,090 4,604,045 13,812,136 6,906,068 3,453,034 1,726,517 5,179,552 2,589,776 1,294,888 647,444 323,722 161,861 485,584 242,792 121,396 60,698 30,349 91,048 45,524 22,762 11,381 34,144 17,072 8,536 4,268 2,134 1,067 3,202 1,601 4,804 2,402 1,201 3,604 1,802

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