λ
Math Directory

9,356,331

3 × 23 × 135599
Deficient Odd Composite

9,356,331 factors as 3 × 23 × 135599. Its 8 positive divisors give a proper-divisor sum of 3,661,269, so this integer is deficient. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 3 × 23 × 135599
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,017,600
Proper Divisor Sum 3,661,269
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9356317 ← → #9356351

Radix Representation

Decimal 9356331
Binary 100011101100010000101011 (24 bits)
Octal 0o43542053
Hexadecimal 0x8EC42B

Divisor Catalog (8)

1 3 23 69 135,599 406,797 3,118,777 9,356,331

Collatz Trajectory (181 steps to reach 1)

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

9,356,331 28,068,994 14,034,497 42,103,492 21,051,746 10,525,873 31,577,620 15,788,810 7,894,405 23,683,216 11,841,608 5,920,804 2,960,402 1,480,201 4,440,604 2,220,302 1,110,151 3,330,454 1,665,227 4,995,682 2,497,841 7,493,524 3,746,762 1,873,381 5,620,144 2,810,072 1,405,036 702,518 351,259 1,053,778 526,889 1,580,668 790,334 395,167 1,185,502 592,751 1,778,254 889,127 2,667,382 1,333,691 4,001,074 2,000,537 6,001,612 3,000,806 1,500,403 4,501,210 2,250,605 6,751,816 3,375,908 1,687,954 843,977 2,531,932 1,265,966 632,983 1,898,950 949,475 2,848,426 1,424,213 4,272,640 2,136,320

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