λ
Harmonic Matrix

9,139,507

13 × 703039
Deficient Odd Composite

9,139,507 has digital root 7. The neighboring primes are 9139483 and 9139517; its proper-divisor sum differs from the starting integer by -8,436,454.

Prime Factor Structure

Factorization String 13 × 703039
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,842,560
Proper Divisor Sum 703,053
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9139483 ← → #9139517

Radix Representation

Decimal 9139507
Binary 100010110111010100110011 (24 bits)
Octal 0o42672463
Hexadecimal 0x8B7533

Divisor Catalog (4)

1 13 703,039 9,139,507

Collatz Trajectory (106 steps to reach 1)

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

9,139,507 27,418,522 13,709,261 41,127,784 20,563,892 10,281,946 5,140,973 15,422,920 7,711,460 3,855,730 1,927,865 5,783,596 2,891,798 1,445,899 4,337,698 2,168,849 6,506,548 3,253,274 1,626,637 4,879,912 2,439,956 1,219,978 609,989 1,829,968 914,984 457,492 228,746 114,373 343,120 171,560 85,780 42,890 21,445 64,336 32,168 16,084 8,042 4,021 12,064 6,032 3,016 1,508 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619

More profiles

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