λ
Harmonic Matrix

9,632,246

2 × 13 × 370471
Deficient Even Composite

9,632,246 has digital root 5. The neighboring primes are 9632213 and 9632261; its proper-divisor sum differs from the starting integer by -3,704,668.

Prime Factor Structure

Factorization String 2 × 13 × 370471
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 15,559,824
Proper Divisor Sum 5,927,578
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #9632213 ← → #9632261

Radix Representation

Decimal 9632246
Binary 100100101111100111110110 (24 bits)
Octal 0o44574766
Hexadecimal 0x92F9F6

Divisor Catalog (8)

1 2 13 26 370,471 740,942 4,816,123 9,632,246

Collatz Trajectory (238 steps to reach 1)

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

9,632,246 4,816,123 14,448,370 7,224,185 21,672,556 10,836,278 5,418,139 16,254,418 8,127,209 24,381,628 12,190,814 6,095,407 18,286,222 9,143,111 27,429,334 13,714,667 41,144,002 20,572,001 61,716,004 30,858,002 15,429,001 46,287,004 23,143,502 11,571,751 34,715,254 17,357,627 52,072,882 26,036,441 78,109,324 39,054,662 19,527,331 58,581,994 29,290,997 87,872,992 43,936,496 21,968,248 10,984,124 5,492,062 2,746,031 8,238,094 4,119,047 12,357,142 6,178,571 18,535,714 9,267,857 27,803,572 13,901,786 6,950,893 20,852,680 10,426,340 5,213,170 2,606,585 7,819,756 3,909,878 1,954,939 5,864,818 2,932,409 8,797,228 4,398,614 2,199,307

More profiles

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