709,533

3³ × 11 × 2389

709,533 factors as 3^3 × 11 × 2389. Its 16 positive divisors give a proper-divisor sum of 437,667, so this integer is deficient. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 3^3 × 11 × 2389

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,147,200

Proper Divisor Sum 437,667

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #709531 ← → #709537

Radix Representation

Decimal	709533
Binary	10101101001110011101 (20 bits)
Octal	0o2551635
Hexadecimal	0xAD39D

Divisor Catalog (16)

1 3 9 11 27 33 99 297 2,389 7,167 21,501 26,279 64,503 78,837 236,511 709,533

Collatz Trajectory (198 steps to reach 1)

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

709,533 2,128,600 1,064,300 532,150 266,075 798,226 399,113 1,197,340 598,670 299,335 898,006 449,003 1,347,010 673,505 2,020,516 1,010,258 505,129 1,515,388 757,694 378,847 1,136,542 568,271 1,704,814 852,407 2,557,222 1,278,611 3,835,834 1,917,917 5,753,752 2,876,876 1,438,438 719,219 2,157,658 1,078,829 3,236,488 1,618,244 809,122 404,561 1,213,684 606,842 303,421 910,264 455,132 227,566 113,783 341,350 170,675 512,026 256,013 768,040 384,020 192,010 96,005 288,016 144,008 72,004 36,002 18,001 54,004 27,002

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