775,997

23 × 33739

775,997 factors as 23 × 33739. Its 4 positive divisors give a proper-divisor sum of 33,763, so this integer is deficient. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 23 × 33739

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 809,760

Proper Divisor Sum 33,763

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #775987 ← → #776003

Radix Representation

Decimal	775997
Binary	10111101011100111101 (20 bits)
Octal	0o2753475
Hexadecimal	0xBD73D

Divisor Catalog (4)

1 23 33,739 775,997

Collatz Trajectory (162 steps to reach 1)

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

775,997 2,327,992 1,163,996 581,998 290,999 872,998 436,499 1,309,498 654,749 1,964,248 982,124 491,062 245,531 736,594 368,297 1,104,892 552,446 276,223 828,670 414,335 1,243,006 621,503 1,864,510 932,255 2,796,766 1,398,383 4,195,150 2,097,575 6,292,726 3,146,363 9,439,090 4,719,545 14,158,636 7,079,318 3,539,659 10,618,978 5,309,489 15,928,468 7,964,234 3,982,117 11,946,352 5,973,176 2,986,588 1,493,294 746,647 2,239,942 1,119,971 3,359,914 1,679,957 5,039,872 2,519,936 1,259,968 629,984 314,992 157,496 78,748 39,374 19,687 59,062 29,531

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