561,002

2 × 13 × 21577

561,002 factors as 2 × 13 × 21577. Its 8 positive divisors give a proper-divisor sum of 345,274, so this integer is deficient. The Collatz stopping time is 71 steps.

Prime Factor Structure

Factorization String 2 × 13 × 21577

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 906,276

Proper Divisor Sum 345,274

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #560977 ← → #561019

Radix Representation

Decimal	561002
Binary	10001000111101101010 (20 bits)
Octal	0o2107552
Hexadecimal	0x88F6A

Divisor Catalog (8)

1 2 13 26 21,577 43,154 280,501 561,002

Collatz Trajectory (71 steps to reach 1)

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

561,002 280,501 841,504 420,752 210,376 105,188 52,594 26,297 78,892 39,446 19,723 59,170 29,585 88,756 44,378 22,189 66,568 33,284 16,642 8,321 24,964 12,482 6,241 18,724 9,362 4,681 14,044 7,022 3,511 10,534 5,267 15,802 7,901 23,704 11,852 5,926 2,963 8,890 4,445 13,336 6,668 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176 88 44 22 11 34 17

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