773,565

3 × 5 × 13 × 3967

773,565 factors as 3 × 5 × 13 × 3967. Its 16 positive divisors give a proper-divisor sum of 559,683, so this integer is deficient. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 3 × 5 × 13 × 3967

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,333,248

Proper Divisor Sum 559,683

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #773561 ← → #773567

Radix Representation

Decimal	773565
Binary	10111100110110111101 (20 bits)
Octal	0o2746675
Hexadecimal	0xBCDBD

Divisor Catalog (16)

1 3 5 13 15 39 65 195 3,967 11,901 19,835 51,571 59,505 154,713 257,855 773,565

Collatz Trajectory (193 steps to reach 1)

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

773,565 2,320,696 1,160,348 580,174 290,087 870,262 435,131 1,305,394 652,697 1,958,092 979,046 489,523 1,468,570 734,285 2,202,856 1,101,428 550,714 275,357 826,072 413,036 206,518 103,259 309,778 154,889 464,668 232,334 116,167 348,502 174,251 522,754 261,377 784,132 392,066 196,033 588,100 294,050 147,025 441,076 220,538 110,269 330,808 165,404 82,702 41,351 124,054 62,027 186,082 93,041 279,124 139,562 69,781 209,344 104,672 52,336 26,168 13,084 6,542 3,271 9,814 4,907

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #773,564 Browse Full Index Next Integer #773,566 →