λ
Integer Codex

617,689

617689
Deficient Odd Prime

For 617,689, the 2 positive divisors have a total of 617,690. Removing 617,689 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 617689
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 617,690
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #617681 ← → #617693

Radix Representation

Decimal 617689
Binary 10010110110011011001 (20 bits)
Octal 0o2266331
Hexadecimal 0x96CD9

Divisor Catalog (2)

Collatz Trajectory (172 steps to reach 1)

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

617,689 1,853,068 926,534 463,267 1,389,802 694,901 2,084,704 1,042,352 521,176 260,588 130,294 65,147 195,442 97,721 293,164 146,582 73,291 219,874 109,937 329,812 164,906 82,453 247,360 123,680 61,840 30,920 15,460 7,730 3,865 11,596 5,798 2,899 8,698 4,349 13,048 6,524 3,262 1,631 4,894 2,447 7,342 3,671 11,014 5,507 16,522 8,261 24,784 12,392 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109

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