λ
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Atlas › Integer Profiles › Node 72,043,425

72,043,425

36 × 52 × 59 × 67
Deficient Odd Composite

72,043,425 factors as 3^6 × 5^2 × 59 × 67. Its 84 positive divisors give a proper-divisor sum of 66,199,215, so this integer is deficient. The Collatz stopping time is 140 steps.

Prime Factor Structure

Factorization String 3^6 × 5^2 × 59 × 67
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 84
Divisor Sum (σ) 138,242,640
Proper Divisor Sum 66,199,215
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #72043369 ← → #72043451

Radix Representation

Decimal 72043425
Binary 100010010110100101110100001 (27 bits)
Octal 0o422645641
Hexadecimal 0x44B4BA1

Divisor Catalog (60 of 84)

1 3 5 9 15 25 27 45 59 67 75 81 135 177 201 225 243 295 335 405 531 603 675 729 885 1,005 1,215 1,475 1,593 1,675 1,809 2,025 2,655 3,015 3,645 3,953 4,425 4,779 5,025 5,427 6,075 7,965 9,045 11,859 13,275 14,337 15,075 16,281 18,225 19,765 23,895 27,135 35,577 39,825 43,011 45,225 48,843 59,295 71,685 81,405

Collatz Trajectory (140 steps to reach 1)

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

72,043,425 216,130,276 108,065,138 54,032,569 162,097,708 81,048,854 40,524,427 121,573,282 60,786,641 182,359,924 91,179,962 45,589,981 136,769,944 68,384,972 34,192,486 17,096,243 51,288,730 25,644,365 76,933,096 38,466,548 19,233,274 9,616,637 28,849,912 14,424,956 7,212,478 3,606,239 10,818,718 5,409,359 16,228,078 8,114,039 24,342,118 12,171,059 36,513,178 18,256,589 54,769,768 27,384,884 13,692,442 6,846,221 20,538,664 10,269,332 5,134,666 2,567,333 7,702,000 3,851,000 1,925,500 962,750 481,375 1,444,126 722,063 2,166,190 1,083,095 3,249,286 1,624,643 4,873,930 2,436,965 7,310,896 3,655,448 1,827,724 913,862 456,931

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