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Atlas › Integer Profiles › Node 9,504,156

9,504,156

22 × 3 × 17 × 46589
Abundant Even Composite

9,504,156 factors as 2^2 × 3 × 17 × 46589. Its 24 positive divisors give a proper-divisor sum of 13,977,204, so this integer is abundant. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 46589
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 23,481,360
Proper Divisor Sum 13,977,204
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9504113 ← → #9504163

Radix Representation

Decimal 9504156
Binary 100100010000010110011100 (24 bits)
Octal 0o44202634
Hexadecimal 0x91059C

Divisor Catalog (24)

1 2 3 4 6 12 17 34 51 68 102 204 46,589 93,178 139,767 186,356 279,534 559,068 792,013 1,584,026 2,376,039 3,168,052 4,752,078 9,504,156

Collatz Trajectory (101 steps to reach 1)

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

9,504,156 4,752,078 2,376,039 7,128,118 3,564,059 10,692,178 5,346,089 16,038,268 8,019,134 4,009,567 12,028,702 6,014,351 18,043,054 9,021,527 27,064,582 13,532,291 40,596,874 20,298,437 60,895,312 30,447,656 15,223,828 7,611,914 3,805,957 11,417,872 5,708,936 2,854,468 1,427,234 713,617 2,140,852 1,070,426 535,213 1,605,640 802,820 401,410 200,705 602,116 301,058 150,529 451,588 225,794 112,897 338,692 169,346 84,673 254,020 127,010 63,505 190,516 95,258 47,629 142,888 71,444 35,722 17,861 53,584 26,792 13,396 6,698 3,349 10,048

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