λ
Modular Archive

1,564,272

24 × 34 × 17 × 71
Abundant Even Composite

The decimal integer 1,564,272 is 101111101111001110000 in binary (21 bits), 5757160 in octal and 17DE70 in hexadecimal. Its digit sum is 27.

Prime Factor Structure

Factorization String 2^4 × 3^4 × 17 × 71
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 100
Divisor Sum (σ) 4,861,296
Proper Divisor Sum 3,297,024
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1564243 ← → #1564307

Radix Representation

Decimal 1564272
Binary 101111101111001110000 (21 bits)
Octal 0o5757160
Hexadecimal 0x17DE70

Divisor Catalog (60 of 100)

1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 71 72 81 102 108 136 142 144 153 162 204 213 216 272 284 306 324 408 426 432 459 568 612 639 648 816 852 918 1,136 1,207 1,224 1,278 1,296 1,377 1,704 1,836 1,917 2,414 2,448 2,556 2,754

Collatz Trajectory (163 steps to reach 1)

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

1,564,272 782,136 391,068 195,534 97,767 293,302 146,651 439,954 219,977 659,932 329,966 164,983 494,950 247,475 742,426 371,213 1,113,640 556,820 278,410 139,205 417,616 208,808 104,404 52,202 26,101 78,304 39,152 19,576 9,788 4,894 2,447 7,342 3,671 11,014 5,507 16,522 8,261 24,784 12,392 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41 124 62 31 94 47

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