72,335

5 × 17 × 23 × 37

72,335 factors as 5 × 17 × 23 × 37. Its 16 positive divisors give a proper-divisor sum of 26,161, so this integer is deficient. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 5 × 17 × 23 × 37

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 98,496

Proper Divisor Sum 26,161

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #72313 ← → #72337

Radix Representation

Decimal	72335
Binary	10001101010001111 (17 bits)
Octal	0o215217
Hexadecimal	0x11A8F

Divisor Catalog (16)

1 5 17 23 37 85 115 185 391 629 851 1,955 3,145 4,255 14,467 72,335

Collatz Trajectory (125 steps to reach 1)

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

72,335 217,006 108,503 325,510 162,755 488,266 244,133 732,400 366,200 183,100 91,550 45,775 137,326 68,663 205,990 102,995 308,986 154,493 463,480 231,740 115,870 57,935 173,806 86,903 260,710 130,355 391,066 195,533 586,600 293,300 146,650 73,325 219,976 109,988 54,994 27,497 82,492 41,246 20,623 61,870 30,935 92,806 46,403 139,210 69,605 208,816 104,408 52,204 26,102 13,051 39,154 19,577 58,732 29,366 14,683 44,050 22,025 66,076 33,038 16,519

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