λ
Harmonic Matrix

9,136,321

19 × 67 × 7177
Deficient Odd Composite

9,136,321 has digital root 7. The neighboring primes are 9136319 and 9136349; its proper-divisor sum differs from the starting integer by -8,510,562.

Prime Factor Structure

Factorization String 19 × 67 × 7177
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,762,080
Proper Divisor Sum 625,759
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #9136319 ← → #9136349

Radix Representation

Decimal 9136321
Binary 100010110110100011000001 (24 bits)
Octal 0o42664301
Hexadecimal 0x8B68C1

Divisor Catalog (8)

1 19 67 1,273 7,177 136,363 480,859 9,136,321

Collatz Trajectory (163 steps to reach 1)

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

9,136,321 27,408,964 13,704,482 6,852,241 20,556,724 10,278,362 5,139,181 15,417,544 7,708,772 3,854,386 1,927,193 5,781,580 2,890,790 1,445,395 4,336,186 2,168,093 6,504,280 3,252,140 1,626,070 813,035 2,439,106 1,219,553 3,658,660 1,829,330 914,665 2,743,996 1,371,998 685,999 2,057,998 1,028,999 3,086,998 1,543,499 4,630,498 2,315,249 6,945,748 3,472,874 1,736,437 5,209,312 2,604,656 1,302,328 651,164 325,582 162,791 488,374 244,187 732,562 366,281 1,098,844 549,422 274,711 824,134 412,067 1,236,202 618,101 1,854,304 927,152 463,576 231,788 115,894 57,947

More profiles

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