λ
Prime Ledger

9,262,272

26 × 3 × 19 × 2539
Abundant Even Composite

9,262,272 has the prime decomposition 2^6 × 3 × 19 × 2539. Its 4 distinct prime factors produce 56 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 3 × 19 × 2539
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 25,806,400
Proper Divisor Sum 16,544,128
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9262259 ← → #9262277

Radix Representation

Decimal 9262272
Binary 100011010101010011000000 (24 bits)
Octal 0o43252300
Hexadecimal 0x8D54C0

Divisor Catalog (56)

1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1,216 1,824 2,539 3,648 5,078 7,617 10,156 15,234 20,312 30,468 40,624 48,241 60,936 81,248 96,482 121,872 144,723 162,496 192,964 243,744 289,446 385,928 487,488 578,892 771,856 1,157,784 1,543,712 2,315,568 3,087,424 4,631,136 9,262,272

Collatz Trajectory (269 steps to reach 1)

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

9,262,272 4,631,136 2,315,568 1,157,784 578,892 289,446 144,723 434,170 217,085 651,256 325,628 162,814 81,407 244,222 122,111 366,334 183,167 549,502 274,751 824,254 412,127 1,236,382 618,191 1,854,574 927,287 2,781,862 1,390,931 4,172,794 2,086,397 6,259,192 3,129,596 1,564,798 782,399 2,347,198 1,173,599 3,520,798 1,760,399 5,281,198 2,640,599 7,921,798 3,960,899 11,882,698 5,941,349 17,824,048 8,912,024 4,456,012 2,228,006 1,114,003 3,342,010 1,671,005 5,013,016 2,506,508 1,253,254 626,627 1,879,882 939,941 2,819,824 1,409,912 704,956 352,478

More profiles

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