λ
Integer Codex

562,611

3 × 7 × 73 × 367
Deficient Odd Composite

For 562,611, the 16 positive divisors have a total of 871,424. Removing 562,611 leaves 308,813, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 7 × 73 × 367
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 871,424
Proper Divisor Sum 308,813
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #562607 ← → #562613

Radix Representation

Decimal 562611
Binary 10001001010110110011 (20 bits)
Octal 0o2112663
Hexadecimal 0x895B3

Divisor Catalog (16)

1 3 7 21 73 219 367 511 1,101 1,533 2,569 7,707 26,791 80,373 187,537 562,611

Collatz Trajectory (133 steps to reach 1)

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

562,611 1,687,834 843,917 2,531,752 1,265,876 632,938 316,469 949,408 474,704 237,352 118,676 59,338 29,669 89,008 44,504 22,252 11,126 5,563 16,690 8,345 25,036 12,518 6,259 18,778 9,389 28,168 14,084 7,042 3,521 10,564 5,282 2,641 7,924 3,962 1,981 5,944 2,972 1,486 743 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577

More profiles

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