λ
Harmonic Matrix

9,464,380

22 × 5 × 473219
Abundant Even Composite

9,464,380 has digital root 7. The neighboring primes are 9464363 and 9464381; its proper-divisor sum differs from the starting integer by 946,480.

Prime Factor Structure

Factorization String 2^2 × 5 × 473219
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 19,875,240
Proper Divisor Sum 10,410,860
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9464363 ← → #9464381

Radix Representation

Decimal 9464380
Binary 100100000110101000111100 (24 bits)
Octal 0o44065074
Hexadecimal 0x906A3C

Divisor Catalog (12)

1 2 4 5 10 20 473,219 946,438 1,892,876 2,366,095 4,732,190 9,464,380

Collatz Trajectory (124 steps to reach 1)

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

9,464,380 4,732,190 2,366,095 7,098,286 3,549,143 10,647,430 5,323,715 15,971,146 7,985,573 23,956,720 11,978,360 5,989,180 2,994,590 1,497,295 4,491,886 2,245,943 6,737,830 3,368,915 10,106,746 5,053,373 15,160,120 7,580,060 3,790,030 1,895,015 5,685,046 2,842,523 8,527,570 4,263,785 12,791,356 6,395,678 3,197,839 9,593,518 4,796,759 14,390,278 7,195,139 21,585,418 10,792,709 32,378,128 16,189,064 8,094,532 4,047,266 2,023,633 6,070,900 3,035,450 1,517,725 4,553,176 2,276,588 1,138,294 569,147 1,707,442 853,721 2,561,164 1,280,582 640,291 1,920,874 960,437 2,881,312 1,440,656 720,328 360,164

More profiles

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