λ
Prime Ledger

9,674,100

22 × 33 × 52 × 3583
Abundant Even Composite

9,674,100 has the prime decomposition 2^2 × 3^3 × 5^2 × 3583. Its 4 distinct prime factors produce 72 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 5^2 × 3583
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 31,109,120
Proper Divisor Sum 21,435,020
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9674089 ← → #9674107

Radix Representation

Decimal 9674100
Binary 100100111001110101110100 (24 bits)
Octal 0o44716564
Hexadecimal 0x939D74

Divisor Catalog (60 of 72)

1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1,350 2,700 3,583 7,166 10,749 14,332 17,915 21,498 32,247 35,830 42,996 53,745 64,494 71,660 89,575 96,741 107,490 128,988 161,235 179,150 193,482 214,980 268,725 322,470 358,300 386,964

Collatz Trajectory (194 steps to reach 1)

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

9,674,100 4,837,050 2,418,525 7,255,576 3,627,788 1,813,894 906,947 2,720,842 1,360,421 4,081,264 2,040,632 1,020,316 510,158 255,079 765,238 382,619 1,147,858 573,929 1,721,788 860,894 430,447 1,291,342 645,671 1,937,014 968,507 2,905,522 1,452,761 4,358,284 2,179,142 1,089,571 3,268,714 1,634,357 4,903,072 2,451,536 1,225,768 612,884 306,442 153,221 459,664 229,832 114,916 57,458 28,729 86,188 43,094 21,547 64,642 32,321 96,964 48,482 24,241 72,724 36,362 18,181 54,544 27,272 13,636 6,818 3,409 10,228

More profiles

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