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Atlas › Integer Profiles › Node 61,365,756

61,365,756

22 × 3 × 61 × 83833
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 61 × 83833
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 145,535,824
Proper Divisor Sum 84,170,068
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #61365739 ← → #61365757

Radix Representation

Decimal 61365756
Binary 11101010000101110111111100 (26 bits)
Octal 0o352056774
Hexadecimal 0x3A85DFC

Divisor Catalog (24)

1 2 3 4 6 12 61 122 183 244 366 732 83,833 167,666 251,499 335,332 502,998 1,005,996 5,113,813 10,227,626 15,341,439 20,455,252 30,682,878 61,365,756

Collatz Trajectory (494 steps to reach 1)

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

61,365,756 30,682,878 15,341,439 46,024,318 23,012,159 69,036,478 34,518,239 103,554,718 51,777,359 155,332,078 77,666,039 232,998,118 116,499,059 349,497,178 174,748,589 524,245,768 262,122,884 131,061,442 65,530,721 196,592,164 98,296,082 49,148,041 147,444,124 73,722,062 36,861,031 110,583,094 55,291,547 165,874,642 82,937,321 248,811,964 124,405,982 62,202,991 186,608,974 93,304,487 279,913,462 139,956,731 419,870,194 209,935,097 629,805,292 314,902,646 157,451,323 472,353,970 236,176,985 708,530,956 354,265,478 177,132,739 531,398,218 265,699,109 797,097,328 398,548,664 199,274,332 99,637,166 49,818,583 149,455,750 74,727,875 224,183,626 112,091,813 336,275,440 168,137,720 84,068,860

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