λ
Harmonic Matrix

9,358,617

3 × 89 × 35051
Deficient Odd Composite

9,358,617 has digital root 3. The neighboring primes are 9358603 and 9358633; its proper-divisor sum differs from the starting integer by -6,098,514.

Prime Factor Structure

Factorization String 3 × 89 × 35051
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,618,720
Proper Divisor Sum 3,260,103
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9358603 ← → #9358633

Radix Representation

Decimal 9358617
Binary 100011101100110100011001 (24 bits)
Octal 0o43546431
Hexadecimal 0x8ECD19

Divisor Catalog (8)

1 3 89 267 35,051 105,153 3,119,539 9,358,617

Collatz Trajectory (344 steps to reach 1)

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

9,358,617 28,075,852 14,037,926 7,018,963 21,056,890 10,528,445 31,585,336 15,792,668 7,896,334 3,948,167 11,844,502 5,922,251 17,766,754 8,883,377 26,650,132 13,325,066 6,662,533 19,987,600 9,993,800 4,996,900 2,498,450 1,249,225 3,747,676 1,873,838 936,919 2,810,758 1,405,379 4,216,138 2,108,069 6,324,208 3,162,104 1,581,052 790,526 395,263 1,185,790 592,895 1,778,686 889,343 2,668,030 1,334,015 4,002,046 2,001,023 6,003,070 3,001,535 9,004,606 4,502,303 13,506,910 6,753,455 20,260,366 10,130,183 30,390,550 15,195,275 45,585,826 22,792,913 68,378,740 34,189,370 17,094,685 51,284,056 25,642,028 12,821,014

More profiles

← Previous Integer #9,358,616 Browse Full Index Next Integer #9,358,618 →