λ
Harmonic Matrix

9,137,249

11 × 191 × 4349
Deficient Odd Composite

9,137,249 has digital root 8. The neighboring primes are 9137239 and 9137257; its proper-divisor sum differs from the starting integer by -8,252,098.

Prime Factor Structure

Factorization String 11 × 191 × 4349
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,022,400
Proper Divisor Sum 885,151
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9137239 ← → #9137257

Radix Representation

Decimal 9137249
Binary 100010110110110001100001 (24 bits)
Octal 0o42666141
Hexadecimal 0x8B6C61

Divisor Catalog (8)

1 11 191 2,101 4,349 47,839 830,659 9,137,249

Collatz Trajectory (106 steps to reach 1)

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

9,137,249 27,411,748 13,705,874 6,852,937 20,558,812 10,279,406 5,139,703 15,419,110 7,709,555 23,128,666 11,564,333 34,693,000 17,346,500 8,673,250 4,336,625 13,009,876 6,504,938 3,252,469 9,757,408 4,878,704 2,439,352 1,219,676 609,838 304,919 914,758 457,379 1,372,138 686,069 2,058,208 1,029,104 514,552 257,276 128,638 64,319 192,958 96,479 289,438 144,719 434,158 217,079 651,238 325,619 976,858 488,429 1,465,288 732,644 366,322 183,161 549,484 274,742 137,371 412,114 206,057 618,172 309,086 154,543 463,630 231,815 695,446 347,723

More profiles

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