λ
Harmonic Matrix

9,110,594

2 × 53 × 61 × 1409
Deficient Even Composite

9,110,594 has digital root 2. The neighboring primes are 9110581 and 9110597; its proper-divisor sum differs from the starting integer by -4,059,148.

Prime Factor Structure

Factorization String 2 × 53 × 61 × 1409
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,162,040
Proper Divisor Sum 5,051,446
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #9110581 ← → #9110597

Radix Representation

Decimal 9110594
Binary 100010110000010001000010 (24 bits)
Octal 0o42602102
Hexadecimal 0x8B0442

Divisor Catalog (16)

1 2 53 61 106 122 1,409 2,818 3,233 6,466 74,677 85,949 149,354 171,898 4,555,297 9,110,594

Collatz Trajectory (217 steps to reach 1)

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

9,110,594 4,555,297 13,665,892 6,832,946 3,416,473 10,249,420 5,124,710 2,562,355 7,687,066 3,843,533 11,530,600 5,765,300 2,882,650 1,441,325 4,323,976 2,161,988 1,080,994 540,497 1,621,492 810,746 405,373 1,216,120 608,060 304,030 152,015 456,046 228,023 684,070 342,035 1,026,106 513,053 1,539,160 769,580 384,790 192,395 577,186 288,593 865,780 432,890 216,445 649,336 324,668 162,334 81,167 243,502 121,751 365,254 182,627 547,882 273,941 821,824 410,912 205,456 102,728 51,364 25,682 12,841 38,524 19,262 9,631

More profiles

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