λ
Harmonic Matrix

9,503,502

2 × 3 × 1583917
Abundant Even Composite

9,503,502 has digital root 6. The neighboring primes are 9503497 and 9503519; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 1583917
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 19,007,016
Proper Divisor Sum 9,503,514
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #9503497 ← → #9503519

Radix Representation

Decimal 9503502
Binary 100100010000001100001110 (24 bits)
Octal 0o44201416
Hexadecimal 0x91030E

Divisor Catalog (8)

1 2 3 6 1,583,917 3,167,834 4,751,751 9,503,502

Collatz Trajectory (269 steps to reach 1)

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

9,503,502 4,751,751 14,255,254 7,127,627 21,382,882 10,691,441 32,074,324 16,037,162 8,018,581 24,055,744 12,027,872 6,013,936 3,006,968 1,503,484 751,742 375,871 1,127,614 563,807 1,691,422 845,711 2,537,134 1,268,567 3,805,702 1,902,851 5,708,554 2,854,277 8,562,832 4,281,416 2,140,708 1,070,354 535,177 1,605,532 802,766 401,383 1,204,150 602,075 1,806,226 903,113 2,709,340 1,354,670 677,335 2,032,006 1,016,003 3,048,010 1,524,005 4,572,016 2,286,008 1,143,004 571,502 285,751 857,254 428,627 1,285,882 642,941 1,928,824 964,412 482,206 241,103 723,310 361,655

More profiles

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