λ
Harmonic Matrix

9,490,264

23 × 7 × 137 × 1237
Abundant Even Composite

9,490,264 has digital root 7. The neighboring primes are 9490249 and 9490277; its proper-divisor sum differs from the starting integer by 1,520,752.

Prime Factor Structure

Factorization String 2^3 × 7 × 137 × 1237
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,501,280
Proper Divisor Sum 11,011,016
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9490249 ← → #9490277

Radix Representation

Decimal 9490264
Binary 100100001100111101011000 (24 bits)
Octal 0o44147530
Hexadecimal 0x90CF58

Divisor Catalog (32)

1 2 4 7 8 14 28 56 137 274 548 959 1,096 1,237 1,918 2,474 3,836 4,948 7,672 8,659 9,896 17,318 34,636 69,272 169,469 338,938 677,876 1,186,283 1,355,752 2,372,566 4,745,132 9,490,264

Collatz Trajectory (101 steps to reach 1)

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

9,490,264 4,745,132 2,372,566 1,186,283 3,558,850 1,779,425 5,338,276 2,669,138 1,334,569 4,003,708 2,001,854 1,000,927 3,002,782 1,501,391 4,504,174 2,252,087 6,756,262 3,378,131 10,134,394 5,067,197 15,201,592 7,600,796 3,800,398 1,900,199 5,700,598 2,850,299 8,550,898 4,275,449 12,826,348 6,413,174 3,206,587 9,619,762 4,809,881 14,429,644 7,214,822 3,607,411 10,822,234 5,411,117 16,233,352 8,116,676 4,058,338 2,029,169 6,087,508 3,043,754 1,521,877 4,565,632 2,282,816 1,141,408 570,704 285,352 142,676 71,338 35,669 107,008 53,504 26,752 13,376 6,688 3,344 1,672

More profiles

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