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Atlas › Integer Profiles › Node 10,422,136

10,422,136

23 × 29 × 167 × 269
Deficient Even Composite

Prime Factor Structure

Factorization String 2^3 × 29 × 167 × 269
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,412,000
Proper Divisor Sum 9,989,864
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #10422133 ← → #10422143

Radix Representation

Decimal 10422136
Binary 100111110000011101111000 (24 bits)
Octal 0o47603570
Hexadecimal 0x9F0778

Divisor Catalog (32)

1 2 4 8 29 58 116 167 232 269 334 538 668 1,076 1,336 2,152 4,843 7,801 9,686 15,602 19,372 31,204 38,744 44,923 62,408 89,846 179,692 359,384 1,302,767 2,605,534 5,211,068 10,422,136

Collatz Trajectory (357 steps to reach 1)

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

10,422,136 5,211,068 2,605,534 1,302,767 3,908,302 1,954,151 5,862,454 2,931,227 8,793,682 4,396,841 13,190,524 6,595,262 3,297,631 9,892,894 4,946,447 14,839,342 7,419,671 22,259,014 11,129,507 33,388,522 16,694,261 50,082,784 25,041,392 12,520,696 6,260,348 3,130,174 1,565,087 4,695,262 2,347,631 7,042,894 3,521,447 10,564,342 5,282,171 15,846,514 7,923,257 23,769,772 11,884,886 5,942,443 17,827,330 8,913,665 26,740,996 13,370,498 6,685,249 20,055,748 10,027,874 5,013,937 15,041,812 7,520,906 3,760,453 11,281,360 5,640,680 2,820,340 1,410,170 705,085 2,115,256 1,057,628 528,814 264,407 793,222 396,611

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