λ
Integer Codex

621,536

25 × 19423
Deficient Even Composite

For 621,536, the 12 positive divisors have a total of 1,223,712. Removing 621,536 leaves 602,176, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^5 × 19423
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,223,712
Proper Divisor Sum 602,176
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #621527 ← → #621541

Radix Representation

Decimal 621536
Binary 10010111101111100000 (20 bits)
Octal 0o2275740
Hexadecimal 0x97BE0

Divisor Catalog (12)

1 2 4 8 16 32 19,423 38,846 77,692 155,384 310,768 621,536

Collatz Trajectory (66 steps to reach 1)

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

621,536 310,768 155,384 77,692 38,846 19,423 58,270 29,135 87,406 43,703 131,110 65,555 196,666 98,333 295,000 147,500 73,750 36,875 110,626 55,313 165,940 82,970 41,485 124,456 62,228 31,114 15,557 46,672 23,336 11,668 5,834 2,917 8,752 4,376 2,188 1,094 547 1,642 821 2,464 1,232 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20

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