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Atlas › Integer Profiles › Node 72,604,025

72,604,025

52 × 13 × 172 × 773
Deficient Odd Composite

72,604,025 factors as 5^2 × 13 × 17^2 × 773. Its 36 positive divisors give a proper-divisor sum of 30,522,187, so this integer is deficient. The Collatz stopping time is 334 steps.

Prime Factor Structure

Factorization String 5^2 × 13 × 17^2 × 773
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 103,126,212
Proper Divisor Sum 30,522,187
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #72604019 ← → #72604039

Radix Representation

Decimal 72604025
Binary 100010100111101100101111001 (27 bits)
Octal 0o424754571
Hexadecimal 0x453D979

Divisor Catalog (36)

1 5 13 17 25 65 85 221 289 325 425 773 1,105 1,445 3,757 3,865 5,525 7,225 10,049 13,141 18,785 19,325 50,245 65,705 93,925 170,833 223,397 251,225 328,525 854,165 1,116,985 2,904,161 4,270,825 5,584,925 14,520,805 72,604,025

Collatz Trajectory (334 steps to reach 1)

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

72,604,025 217,812,076 108,906,038 54,453,019 163,359,058 81,679,529 245,038,588 122,519,294 61,259,647 183,778,942 91,889,471 275,668,414 137,834,207 413,502,622 206,751,311 620,253,934 310,126,967 930,380,902 465,190,451 1,395,571,354 697,785,677 2,093,357,032 1,046,678,516 523,339,258 261,669,629 785,008,888 392,504,444 196,252,222 98,126,111 294,378,334 147,189,167 441,567,502 220,783,751 662,351,254 331,175,627 993,526,882 496,763,441 1,490,290,324 745,145,162 372,572,581 1,117,717,744 558,858,872 279,429,436 139,714,718 69,857,359 209,572,078 104,786,039 314,358,118 157,179,059 471,537,178 235,768,589 707,305,768 353,652,884 176,826,442 88,413,221 265,239,664 132,619,832 66,309,916 33,154,958 16,577,479

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