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Atlas › Integer Profiles › Node 10,172,088

10,172,088

23 × 33 × 47093
Abundant Even Composite

10,172,088 factors as 2^3 × 3^3 × 47093. Its 32 positive divisors give a proper-divisor sum of 18,084,312, so this integer is abundant. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 47093
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 28,256,400
Proper Divisor Sum 18,084,312
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #10172053 ← → #10172093

Radix Representation

Decimal 10172088
Binary 100110110011011010111000 (24 bits)
Octal 0o46633270
Hexadecimal 0x9B36B8

Divisor Catalog (32)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 47,093 94,186 141,279 188,372 282,558 376,744 423,837 565,116 847,674 1,130,232 1,271,511 1,695,348 2,543,022 3,390,696 5,086,044 10,172,088

Collatz Trajectory (145 steps to reach 1)

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

10,172,088 5,086,044 2,543,022 1,271,511 3,814,534 1,907,267 5,721,802 2,860,901 8,582,704 4,291,352 2,145,676 1,072,838 536,419 1,609,258 804,629 2,413,888 1,206,944 603,472 301,736 150,868 75,434 37,717 113,152 56,576 28,288 14,144 7,072 3,536 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310

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