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Atlas › Integer Profiles › Node 10,016,680

10,016,680

23 × 5 × 71 × 3527
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 71 × 3527
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 22,861,440
Proper Divisor Sum 12,844,760
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #10016623 ← → #10016681

Radix Representation

Decimal 10016680
Binary 100110001101011110101000 (24 bits)
Octal 0o46153650
Hexadecimal 0x98D7A8

Divisor Catalog (32)

1 2 4 5 8 10 20 40 71 142 284 355 568 710 1,420 2,840 3,527 7,054 14,108 17,635 28,216 35,270 70,540 141,080 250,417 500,834 1,001,668 1,252,085 2,003,336 2,504,170 5,008,340 10,016,680

Collatz Trajectory (57 steps to reach 1)

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

10,016,680 5,008,340 2,504,170 1,252,085 3,756,256 1,878,128 939,064 469,532 234,766 117,383 352,150 176,075 528,226 264,113 792,340 396,170 198,085 594,256 297,128 148,564 74,282 37,141 111,424 55,712 27,856 13,928 6,964 3,482 1,741 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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