λ
Sequence Observatory

9,674,784

25 × 32 × 7 × 4799
Abundant Even Composite

Starting at 9,674,784, the Collatz iteration reaches 1 after 163 steps. The first transition is 4837392; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 7 × 4799
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 31,449,600
Proper Divisor Sum 21,774,816
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9674773 ← → #9674801

Radix Representation

Decimal 9674784
Binary 100100111010000000100000 (24 bits)
Octal 0o44720040
Hexadecimal 0x93A020

Divisor Catalog (60 of 72)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1,008 2,016 4,799 9,598 14,397 19,196 28,794 33,593 38,392 43,191 57,588 67,186 76,784 86,382 100,779 115,176 134,372 153,568 172,764 201,558 230,352 268,744 302,337 345,528 403,116 460,704

Collatz Trajectory (163 steps to reach 1)

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

9,674,784 4,837,392 2,418,696 1,209,348 604,674 302,337 907,012 453,506 226,753 680,260 340,130 170,065 510,196 255,098 127,549 382,648 191,324 95,662 47,831 143,494 71,747 215,242 107,621 322,864 161,432 80,716 40,358 20,179 60,538 30,269 90,808 45,404 22,702 11,351 34,054 17,027 51,082 25,541 76,624 38,312 19,156 9,578 4,789 14,368 7,184 3,592 1,796 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286

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