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Atlas › Integer Profiles › Node 61,329,644

61,329,644

22 × 19 × 61 × 13229
Deficient Even Composite

61,329,644 factors as 2^2 × 19 × 61 × 13229. Its 24 positive divisors give a proper-divisor sum of 53,506,756, so this integer is deficient. The Collatz stopping time is 220 steps.

Prime Factor Structure

Factorization String 2^2 × 19 × 61 × 13229
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 114,836,400
Proper Divisor Sum 53,506,756
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #61329643 ← → #61329649

Radix Representation

Decimal 61329644
Binary 11101001111101000011101100 (26 bits)
Octal 0o351750354
Hexadecimal 0x3A7D0EC

Divisor Catalog (24)

1 2 4 19 38 61 76 122 244 1,159 2,318 4,636 13,229 26,458 52,916 251,351 502,702 806,969 1,005,404 1,613,938 3,227,876 15,332,411 30,664,822 61,329,644

Collatz Trajectory (220 steps to reach 1)

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

61,329,644 30,664,822 15,332,411 45,997,234 22,998,617 68,995,852 34,497,926 17,248,963 51,746,890 25,873,445 77,620,336 38,810,168 19,405,084 9,702,542 4,851,271 14,553,814 7,276,907 21,830,722 10,915,361 32,746,084 16,373,042 8,186,521 24,559,564 12,279,782 6,139,891 18,419,674 9,209,837 27,629,512 13,814,756 6,907,378 3,453,689 10,361,068 5,180,534 2,590,267 7,770,802 3,885,401 11,656,204 5,828,102 2,914,051 8,742,154 4,371,077 13,113,232 6,556,616 3,278,308 1,639,154 819,577 2,458,732 1,229,366 614,683 1,844,050 922,025 2,766,076 1,383,038 691,519 2,074,558 1,037,279 3,111,838 1,555,919 4,667,758 2,333,879

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