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Atlas › Integer Profiles › Node 20,173,696

20,173,696

27 × 17 × 73 × 127
Abundant Even Composite

20,173,696 factors as 2^7 × 17 × 73 × 127. Its 64 positive divisors give a proper-divisor sum of 23,302,784, so this integer is abundant. The Collatz stopping time is 133 steps.

Prime Factor Structure

Factorization String 2^7 × 17 × 73 × 127
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 43,476,480
Proper Divisor Sum 23,302,784
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #20173663 ← → #20173697

Radix Representation

Decimal 20173696
Binary 1001100111101001110000000 (25 bits)
Octal 0o114751600
Hexadecimal 0x133D380

Divisor Catalog (60 of 64)

1 2 4 8 16 17 32 34 64 68 73 127 128 136 146 254 272 292 508 544 584 1,016 1,088 1,168 1,241 2,032 2,159 2,176 2,336 2,482 4,064 4,318 4,672 4,964 8,128 8,636 9,271 9,344 9,928 16,256 17,272 18,542 19,856 34,544 37,084 39,712 69,088 74,168 79,424 138,176 148,336 157,607 158,848 276,352 296,672 315,214 593,344 630,428 1,186,688 1,260,856

Collatz Trajectory (133 steps to reach 1)

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

20,173,696 10,086,848 5,043,424 2,521,712 1,260,856 630,428 315,214 157,607 472,822 236,411 709,234 354,617 1,063,852 531,926 265,963 797,890 398,945 1,196,836 598,418 299,209 897,628 448,814 224,407 673,222 336,611 1,009,834 504,917 1,514,752 757,376 378,688 189,344 94,672 47,336 23,668 11,834 5,917 17,752 8,876 4,438 2,219 6,658 3,329 9,988 4,994 2,497 7,492 3,746 1,873 5,620 2,810 1,405 4,216 2,108 1,054 527 1,582 791 2,374 1,187 3,562

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