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Atlas › Integer Profiles › Node 20,079,904

20,079,904

25 × 132 × 47 × 79
Abundant Even Composite

20,079,904 factors as 2^5 × 13^2 × 47 × 79. Its 72 positive divisors give a proper-divisor sum of 24,191,456, so this integer is abundant. The Collatz stopping time is 133 steps.

Prime Factor Structure

Factorization String 2^5 × 13^2 × 47 × 79
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 44,271,360
Proper Divisor Sum 24,191,456
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #20079901 ← → #20079923

Radix Representation

Decimal 20079904
Binary 1001100100110010100100000 (25 bits)
Octal 0o114462440
Hexadecimal 0x1326520

Divisor Catalog (60 of 72)

1 2 4 8 13 16 26 32 47 52 79 94 104 158 169 188 208 316 338 376 416 611 632 676 752 1,027 1,222 1,264 1,352 1,504 2,054 2,444 2,528 2,704 3,713 4,108 4,888 5,408 7,426 7,943 8,216 9,776 13,351 14,852 15,886 16,432 19,552 26,702 29,704 31,772 32,864 48,269 53,404 59,408 63,544 96,538 106,808 118,816 127,088 193,076

Collatz Trajectory (133 steps to reach 1)

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

20,079,904 10,039,952 5,019,976 2,509,988 1,254,994 627,497 1,882,492 941,246 470,623 1,411,870 705,935 2,117,806 1,058,903 3,176,710 1,588,355 4,765,066 2,382,533 7,147,600 3,573,800 1,786,900 893,450 446,725 1,340,176 670,088 335,044 167,522 83,761 251,284 125,642 62,821 188,464 94,232 47,116 23,558 11,779 35,338 17,669 53,008 26,504 13,252 6,626 3,313 9,940 4,970 2,485 7,456 3,728 1,864 932 466 233 700 350 175 526 263 790 395 1,186 593

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