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Atlas › Integer Profiles › Node 61,312,905

61,312,905

32 × 5 × 19 × 71711
Deficient Odd Composite

61,312,905 factors as 3^2 × 5 × 19 × 71711. Its 24 positive divisors give a proper-divisor sum of 50,557,815, so this integer is deficient. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 19 × 71711
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 111,870,720
Proper Divisor Sum 50,557,815
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #61312903 ← → #61312907

Radix Representation

Decimal 61312905
Binary 11101001111000111110001001 (26 bits)
Octal 0o351707611
Hexadecimal 0x3A78F89

Divisor Catalog (24)

1 3 5 9 15 19 45 57 95 171 285 855 71,711 215,133 358,555 645,399 1,075,665 1,362,509 3,226,995 4,087,527 6,812,545 12,262,581 20,437,635 61,312,905

Collatz Trajectory (189 steps to reach 1)

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

61,312,905 183,938,716 91,969,358 45,984,679 137,954,038 68,977,019 206,931,058 103,465,529 310,396,588 155,198,294 77,599,147 232,797,442 116,398,721 349,196,164 174,598,082 87,299,041 261,897,124 130,948,562 65,474,281 196,422,844 98,211,422 49,105,711 147,317,134 73,658,567 220,975,702 110,487,851 331,463,554 165,731,777 497,195,332 248,597,666 124,298,833 372,896,500 186,448,250 93,224,125 279,672,376 139,836,188 69,918,094 34,959,047 104,877,142 52,438,571 157,315,714 78,657,857 235,973,572 117,986,786 58,993,393 176,980,180 88,490,090 44,245,045 132,735,136 66,367,568 33,183,784 16,591,892 8,295,946 4,147,973 12,443,920 6,221,960 3,110,980 1,555,490 777,745 2,333,236

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