λ
Harmonic Matrix

9,629,713

19 × 367 × 1381
Deficient Odd Composite

9,629,713 has digital root 1. The neighboring primes are 9629707 and 9629749; its proper-divisor sum differs from the starting integer by -9,087,906.

Prime Factor Structure

Factorization String 19 × 367 × 1381
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,171,520
Proper Divisor Sum 541,807
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9629707 ← → #9629749

Radix Representation

Decimal 9629713
Binary 100100101111000000010001 (24 bits)
Octal 0o44570021
Hexadecimal 0x92F011

Divisor Catalog (8)

1 19 367 1,381 6,973 26,239 506,827 9,629,713

Collatz Trajectory (300 steps to reach 1)

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

9,629,713 28,889,140 14,444,570 7,222,285 21,666,856 10,833,428 5,416,714 2,708,357 8,125,072 4,062,536 2,031,268 1,015,634 507,817 1,523,452 761,726 380,863 1,142,590 571,295 1,713,886 856,943 2,570,830 1,285,415 3,856,246 1,928,123 5,784,370 2,892,185 8,676,556 4,338,278 2,169,139 6,507,418 3,253,709 9,761,128 4,880,564 2,440,282 1,220,141 3,660,424 1,830,212 915,106 457,553 1,372,660 686,330 343,165 1,029,496 514,748 257,374 128,687 386,062 193,031 579,094 289,547 868,642 434,321 1,302,964 651,482 325,741 977,224 488,612 244,306 122,153 366,460

More profiles

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