λ
Integer Codex

622,973

13 × 173 × 277
Deficient Odd Composite

For 622,973, the 8 positive divisors have a total of 677,208. Removing 622,973 leaves 54,235, which gives the deficient classification.

Prime Factor Structure

Factorization String 13 × 173 × 277
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 677,208
Proper Divisor Sum 54,235
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #622967 ← → #622987

Radix Representation

Decimal 622973
Binary 10011000000101111101 (20 bits)
Octal 0o2300575
Hexadecimal 0x9817D

Divisor Catalog (8)

1 13 173 277 2,249 3,601 47,921 622,973

Collatz Trajectory (141 steps to reach 1)

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

622,973 1,868,920 934,460 467,230 233,615 700,846 350,423 1,051,270 525,635 1,576,906 788,453 2,365,360 1,182,680 591,340 295,670 147,835 443,506 221,753 665,260 332,630 166,315 498,946 249,473 748,420 374,210 187,105 561,316 280,658 140,329 420,988 210,494 105,247 315,742 157,871 473,614 236,807 710,422 355,211 1,065,634 532,817 1,598,452 799,226 399,613 1,198,840 599,420 299,710 149,855 449,566 224,783 674,350 337,175 1,011,526 505,763 1,517,290 758,645 2,275,936 1,137,968 568,984 284,492 142,246

More profiles

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