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Atlas › Integer Profiles › Node 9,523,976

9,523,976

23 × 7 × 11 × 15461
Abundant Even Composite

9,523,976 factors as 2^3 × 7 × 11 × 15461. Its 32 positive divisors give a proper-divisor sum of 12,741,304, so this integer is abundant. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 11 × 15461
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 22,265,280
Proper Divisor Sum 12,741,304
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9523973 ← → #9523993

Radix Representation

Decimal 9523976
Binary 100100010101001100001000 (24 bits)
Octal 0o44251410
Hexadecimal 0x915308

Divisor Catalog (32)

1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 15,461 30,922 61,844 108,227 123,688 170,071 216,454 340,142 432,908 680,284 865,816 1,190,497 1,360,568 2,380,994 4,761,988 9,523,976

Collatz Trajectory (145 steps to reach 1)

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

9,523,976 4,761,988 2,380,994 1,190,497 3,571,492 1,785,746 892,873 2,678,620 1,339,310 669,655 2,008,966 1,004,483 3,013,450 1,506,725 4,520,176 2,260,088 1,130,044 565,022 282,511 847,534 423,767 1,271,302 635,651 1,906,954 953,477 2,860,432 1,430,216 715,108 357,554 178,777 536,332 268,166 134,083 402,250 201,125 603,376 301,688 150,844 75,422 37,711 113,134 56,567 169,702 84,851 254,554 127,277 381,832 190,916 95,458 47,729 143,188 71,594 35,797 107,392 53,696 26,848 13,424 6,712 3,356 1,678

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