760,235

5 × 7² × 29 × 107

760,235 factors as 5 × 7^2 × 29 × 107. Its 24 positive divisors give a proper-divisor sum of 347,845, so this integer is deficient. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 5 × 7^2 × 29 × 107

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,108,080

Proper Divisor Sum 347,845

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #760231 ← → #760237

Radix Representation

Decimal	760235
Binary	10111001100110101011 (20 bits)
Octal	0o2714653
Hexadecimal	0xB99AB

Divisor Catalog (24)

Collatz Trajectory (79 steps to reach 1)

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

760,235 2,280,706 1,140,353 3,421,060 1,710,530 855,265 2,565,796 1,282,898 641,449 1,924,348 962,174 481,087 1,443,262 721,631 2,164,894 1,082,447 3,247,342 1,623,671 4,871,014 2,435,507 7,306,522 3,653,261 10,959,784 5,479,892 2,739,946 1,369,973 4,109,920 2,054,960 1,027,480 513,740 256,870 128,435 385,306 192,653 577,960 288,980 144,490 72,245 216,736 108,368 54,184 27,092 13,546 6,773 20,320 10,160 5,080 2,540 1,270 635 1,906 953 2,860 1,430 715 2,146 1,073 3,220 1,610 805

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