9,567,585

3³ × 5 × 131 × 541

9,567,585 factors as 3^3 × 5 × 131 × 541. Its 32 positive divisors give a proper-divisor sum of 7,602,975, so this integer is deficient. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 3^3 × 5 × 131 × 541

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 17,170,560

Proper Divisor Sum 7,602,975

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #9567581 ← → #9567587

Radix Representation

Decimal	9567585
Binary	100100011111110101100001 (24 bits)
Octal	0o44376541
Hexadecimal	0x91FD61

Divisor Catalog (32)

1 3 5 9 15 27 45 131 135 393 541 655 1,179 1,623 1,965 2,705 3,537 4,869 5,895 8,115 14,607 17,685 24,345 70,871 73,035 212,613 354,355 637,839 1,063,065 1,913,517 3,189,195 9,567,585

Collatz Trajectory (150 steps to reach 1)

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

9,567,585 28,702,756 14,351,378 7,175,689 21,527,068 10,763,534 5,381,767 16,145,302 8,072,651 24,217,954 12,108,977 36,326,932 18,163,466 9,081,733 27,245,200 13,622,600 6,811,300 3,405,650 1,702,825 5,108,476 2,554,238 1,277,119 3,831,358 1,915,679 5,747,038 2,873,519 8,620,558 4,310,279 12,930,838 6,465,419 19,396,258 9,698,129 29,094,388 14,547,194 7,273,597 21,820,792 10,910,396 5,455,198 2,727,599 8,182,798 4,091,399 12,274,198 6,137,099 18,411,298 9,205,649 27,616,948 13,808,474 6,904,237 20,712,712 10,356,356 5,178,178 2,589,089 7,767,268 3,883,634 1,941,817 5,825,452 2,912,726 1,456,363 4,369,090 2,184,545

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