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Atlas › Integer Profiles › Node 73,116,028

73,116,028

22 × 19 × 67 × 83 × 173
Deficient Even Composite

73,116,028 factors as 2^2 × 19 × 67 × 83 × 173. Its 48 positive divisors give a proper-divisor sum of 66,028,292, so this integer is deficient. The Collatz stopping time is 228 steps.

Prime Factor Structure

Factorization String 2^2 × 19 × 67 × 83 × 173
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 139,144,320
Proper Divisor Sum 66,028,292
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #73116007 ← → #73116053

Radix Representation

Decimal 73116028
Binary 100010110111010100101111100 (27 bits)
Octal 0o426724574
Hexadecimal 0x45BA97C

Divisor Catalog (48)

1 2 4 19 38 67 76 83 134 166 173 268 332 346 692 1,273 1,577 2,546 3,154 3,287 5,092 5,561 6,308 6,574 11,122 11,591 13,148 14,359 22,244 23,182 28,718 46,364 57,436 105,659 211,318 220,229 272,821 422,636 440,458 545,642 880,916 962,053 1,091,284 1,924,106 3,848,212 18,279,007 36,558,014 73,116,028

Collatz Trajectory (228 steps to reach 1)

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

73,116,028 36,558,014 18,279,007 54,837,022 27,418,511 82,255,534 41,127,767 123,383,302 61,691,651 185,074,954 92,537,477 277,612,432 138,806,216 69,403,108 34,701,554 17,350,777 52,052,332 26,026,166 13,013,083 39,039,250 19,519,625 58,558,876 29,279,438 14,639,719 43,919,158 21,959,579 65,878,738 32,939,369 98,818,108 49,409,054 24,704,527 74,113,582 37,056,791 111,170,374 55,585,187 166,755,562 83,377,781 250,133,344 125,066,672 62,533,336 31,266,668 15,633,334 7,816,667 23,450,002 11,725,001 35,175,004 17,587,502 8,793,751 26,381,254 13,190,627 39,571,882 19,785,941 59,357,824 29,678,912 14,839,456 7,419,728 3,709,864 1,854,932 927,466 463,733

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