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Atlas › Integer Profiles › Node 20,533,736

20,533,736

23 × 47 × 97 × 563
Deficient Even Composite

20,533,736 factors as 2^3 × 47 × 97 × 563. Its 32 positive divisors give a proper-divisor sum of 19,262,104, so this integer is deficient. The Collatz stopping time is 213 steps.

Prime Factor Structure

Factorization String 2^3 × 47 × 97 × 563
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 39,795,840
Proper Divisor Sum 19,262,104
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #20533729 ← → #20533753

Radix Representation

Decimal 20533736
Binary 1001110010101000111101000 (25 bits)
Octal 0o116250750
Hexadecimal 0x13951E8

Divisor Catalog (32)

1 2 4 8 47 94 97 188 194 376 388 563 776 1,126 2,252 4,504 4,559 9,118 18,236 26,461 36,472 52,922 54,611 105,844 109,222 211,688 218,444 436,888 2,566,717 5,133,434 10,266,868 20,533,736

Collatz Trajectory (213 steps to reach 1)

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

20,533,736 10,266,868 5,133,434 2,566,717 7,700,152 3,850,076 1,925,038 962,519 2,887,558 1,443,779 4,331,338 2,165,669 6,497,008 3,248,504 1,624,252 812,126 406,063 1,218,190 609,095 1,827,286 913,643 2,740,930 1,370,465 4,111,396 2,055,698 1,027,849 3,083,548 1,541,774 770,887 2,312,662 1,156,331 3,468,994 1,734,497 5,203,492 2,601,746 1,300,873 3,902,620 1,951,310 975,655 2,926,966 1,463,483 4,390,450 2,195,225 6,585,676 3,292,838 1,646,419 4,939,258 2,469,629 7,408,888 3,704,444 1,852,222 926,111 2,778,334 1,389,167 4,167,502 2,083,751 6,251,254 3,125,627 9,376,882 4,688,441

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