λ
Harmonic Matrix

9,120,261

3 × 3040087
Deficient Odd Composite

9,120,261 has digital root 3. The neighboring primes are 9120253 and 9120263; its proper-divisor sum differs from the starting integer by -6,080,170.

Prime Factor Structure

Factorization String 3 × 3040087
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 12,160,352
Proper Divisor Sum 3,040,091
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #9120253 ← → #9120263

Radix Representation

Decimal 9120261
Binary 100010110010101000000101 (24 bits)
Octal 0o42625005
Hexadecimal 0x8B2A05

Divisor Catalog (4)

1 3 3,040,087 9,120,261

Collatz Trajectory (132 steps to reach 1)

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

9,120,261 27,360,784 13,680,392 6,840,196 3,420,098 1,710,049 5,130,148 2,565,074 1,282,537 3,847,612 1,923,806 961,903 2,885,710 1,442,855 4,328,566 2,164,283 6,492,850 3,246,425 9,739,276 4,869,638 2,434,819 7,304,458 3,652,229 10,956,688 5,478,344 2,739,172 1,369,586 684,793 2,054,380 1,027,190 513,595 1,540,786 770,393 2,311,180 1,155,590 577,795 1,733,386 866,693 2,600,080 1,300,040 650,020 325,010 162,505 487,516 243,758 121,879 365,638 182,819 548,458 274,229 822,688 411,344 205,672 102,836 51,418 25,709 77,128 38,564 19,282 9,641

More profiles

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