λ
Harmonic Matrix

9,523,031

7 × 743 × 1831
Deficient Odd Composite

9,523,031 has digital root 5. The neighboring primes are 9523001 and 9523039; its proper-divisor sum differs from the starting integer by -8,141,998.

Prime Factor Structure

Factorization String 7 × 743 × 1831
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,904,064
Proper Divisor Sum 1,381,033
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #9523001 ← → #9523039

Radix Representation

Decimal 9523031
Binary 100100010100111101010111 (24 bits)
Octal 0o44247527
Hexadecimal 0x914F57

Divisor Catalog (8)

1 7 743 1,831 5,201 12,817 1,360,433 9,523,031

Collatz Trajectory (269 steps to reach 1)

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

9,523,031 28,569,094 14,284,547 42,853,642 21,426,821 64,280,464 32,140,232 16,070,116 8,035,058 4,017,529 12,052,588 6,026,294 3,013,147 9,039,442 4,519,721 13,559,164 6,779,582 3,389,791 10,169,374 5,084,687 15,254,062 7,627,031 22,881,094 11,440,547 34,321,642 17,160,821 51,482,464 25,741,232 12,870,616 6,435,308 3,217,654 1,608,827 4,826,482 2,413,241 7,239,724 3,619,862 1,809,931 5,429,794 2,714,897 8,144,692 4,072,346 2,036,173 6,108,520 3,054,260 1,527,130 763,565 2,290,696 1,145,348 572,674 286,337 859,012 429,506 214,753 644,260 322,130 161,065 483,196 241,598 120,799 362,398

More profiles

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