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Atlas › Integer Profiles › Node 4,157,568

4,157,568

27 × 34 × 401
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 3^4 × 401
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 12,403,710
Proper Divisor Sum 8,246,142
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4157563 ← → #4157591

Radix Representation

Decimal 4157568
Binary 1111110111000010000000 (22 bits)
Octal 0o17670200
Hexadecimal 0x3F7080

Divisor Catalog (60 of 80)

1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 401 432 576 648 802 864 1,152 1,203 1,296 1,604 1,728 2,406 2,592 3,208 3,456 3,609 4,812 5,184 6,416 7,218 9,624 10,368 10,827 12,832 14,436 19,248 21,654 25,664 28,872 32,481 38,496

Collatz Trajectory (74 steps to reach 1)

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

4,157,568 2,078,784 1,039,392 519,696 259,848 129,924 64,962 32,481 97,444 48,722 24,361 73,084 36,542 18,271 54,814 27,407 82,222 41,111 123,334 61,667 185,002 92,501 277,504 138,752 69,376 34,688 17,344 8,672 4,336 2,168 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22

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