72,036,364

2² × 61 × 83 × 3557

72,036,364 factors as 2^2 × 61 × 83 × 3557. Its 24 positive divisors give a proper-divisor sum of 57,674,084, so this integer is deficient. The Collatz stopping time is 321 steps.

Prime Factor Structure

Factorization String 2^2 × 61 × 83 × 3557

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 129,710,448

Proper Divisor Sum 57,674,084

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #72036347 ← → #72036403

Radix Representation

Decimal	72036364
Binary	100010010110011000000001100 (27 bits)
Octal	0o422630014
Hexadecimal	0x44B300C

Divisor Catalog (24)

Collatz Trajectory (321 steps to reach 1)

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

72,036,364 36,018,182 18,009,091 54,027,274 27,013,637 81,040,912 40,520,456 20,260,228 10,130,114 5,065,057 15,195,172 7,597,586 3,798,793 11,396,380 5,698,190 2,849,095 8,547,286 4,273,643 12,820,930 6,410,465 19,231,396 9,615,698 4,807,849 14,423,548 7,211,774 3,605,887 10,817,662 5,408,831 16,226,494 8,113,247 24,339,742 12,169,871 36,509,614 18,254,807 54,764,422 27,382,211 82,146,634 41,073,317 123,219,952 61,609,976 30,804,988 15,402,494 7,701,247 23,103,742 11,551,871 34,655,614 17,327,807 51,983,422 25,991,711 77,975,134 38,987,567 116,962,702 58,481,351 175,444,054 87,722,027 263,166,082 131,583,041 394,749,124 197,374,562 98,687,281

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