λ
Integer Codex

681,607

681607
Deficient Odd Prime

For 681,607, the 2 positive divisors have a total of 681,608. Removing 681,607 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 681607
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 681,608
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #681589 ← → #681613

Radix Representation

Decimal 681607
Binary 10100110011010000111 (20 bits)
Octal 0o2463207
Hexadecimal 0xA6687

Divisor Catalog (2)

Collatz Trajectory (198 steps to reach 1)

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

681,607 2,044,822 1,022,411 3,067,234 1,533,617 4,600,852 2,300,426 1,150,213 3,450,640 1,725,320 862,660 431,330 215,665 646,996 323,498 161,749 485,248 242,624 121,312 60,656 30,328 15,164 7,582 3,791 11,374 5,687 17,062 8,531 25,594 12,797 38,392 19,196 9,598 4,799 14,398 7,199 21,598 10,799 32,398 16,199 48,598 24,299 72,898 36,449 109,348 54,674 27,337 82,012 41,006 20,503 61,510 30,755 92,266 46,133 138,400 69,200 34,600 17,300 8,650 4,325

More profiles

← Previous Integer #681,606 Browse Full Index Next Integer #681,608 →