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Atlas › Integer Profiles › Node 61,375,902

61,375,902

2 × 3 × 7 × 173 × 8447
Abundant Even Composite

61,375,902 factors as 2 × 3 × 7 × 173 × 8447. Its 32 positive divisors give a proper-divisor sum of 79,739,490, so this integer is abundant. The Collatz stopping time is 251 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 173 × 8447
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 141,115,392
Proper Divisor Sum 79,739,490
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #61375901 ← → #61375903

Radix Representation

Decimal 61375902
Binary 11101010001000010110011110 (26 bits)
Octal 0o352102636
Hexadecimal 0x3A8859E

Divisor Catalog (32)

1 2 3 6 7 14 21 42 173 346 519 1,038 1,211 2,422 3,633 7,266 8,447 16,894 25,341 50,682 59,129 118,258 177,387 354,774 1,461,331 2,922,662 4,383,993 8,767,986 10,229,317 20,458,634 30,687,951 61,375,902

Collatz Trajectory (251 steps to reach 1)

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

61,375,902 30,687,951 92,063,854 46,031,927 138,095,782 69,047,891 207,143,674 103,571,837 310,715,512 155,357,756 77,678,878 38,839,439 116,518,318 58,259,159 174,777,478 87,388,739 262,166,218 131,083,109 393,249,328 196,624,664 98,312,332 49,156,166 24,578,083 73,734,250 36,867,125 110,601,376 55,300,688 27,650,344 13,825,172 6,912,586 3,456,293 10,368,880 5,184,440 2,592,220 1,296,110 648,055 1,944,166 972,083 2,916,250 1,458,125 4,374,376 2,187,188 1,093,594 546,797 1,640,392 820,196 410,098 205,049 615,148 307,574 153,787 461,362 230,681 692,044 346,022 173,011 519,034 259,517 778,552 389,276

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