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Atlas › Integer Profiles › Node 20,121,248

20,121,248

25 × 7 × 43 × 2089
Abundant Even Composite

20,121,248 factors as 2^5 × 7 × 43 × 2089. Its 48 positive divisors give a proper-divisor sum of 26,226,592, so this integer is abundant. The Collatz stopping time is 58 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 43 × 2089
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 46,347,840
Proper Divisor Sum 26,226,592
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #20121193 ← → #20121271

Radix Representation

Decimal 20121248
Binary 1001100110000011010100000 (25 bits)
Octal 0o114603240
Hexadecimal 0x13306A0

Divisor Catalog (48)

1 2 4 7 8 14 16 28 32 43 56 86 112 172 224 301 344 602 688 1,204 1,376 2,089 2,408 4,178 4,816 8,356 9,632 14,623 16,712 29,246 33,424 58,492 66,848 89,827 116,984 179,654 233,968 359,308 467,936 628,789 718,616 1,257,578 1,437,232 2,515,156 2,874,464 5,030,312 10,060,624 20,121,248

Collatz Trajectory (58 steps to reach 1)

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

20,121,248 10,060,624 5,030,312 2,515,156 1,257,578 628,789 1,886,368 943,184 471,592 235,796 117,898 58,949 176,848 88,424 44,212 22,106 11,053 33,160 16,580 8,290 4,145 12,436 6,218 3,109 9,328 4,664 2,332 1,166 583 1,750 875 2,626 1,313 3,940 1,970 985 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

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