9,951,824

2⁴ × 23 × 27043

Starting at 9,951,824, the Collatz iteration reaches 1 after 163 steps. The first transition is 4975912; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 23 × 27043

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 20,120,736

Proper Divisor Sum 10,168,912

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #9951793 ← → #9951829

Radix Representation

Decimal	9951824
Binary	100101111101101001010000 (24 bits)
Octal	0o45755120
Hexadecimal	0x97DA50

Divisor Catalog (20)

1 2 4 8 16 23 46 92 184 368 27,043 54,086 108,172 216,344 432,688 621,989 1,243,978 2,487,956 4,975,912 9,951,824

Collatz Trajectory (163 steps to reach 1)

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

9,951,824 4,975,912 2,487,956 1,243,978 621,989 1,865,968 932,984 466,492 233,246 116,623 349,870 174,935 524,806 262,403 787,210 393,605 1,180,816 590,408 295,204 147,602 73,801 221,404 110,702 55,351 166,054 83,027 249,082 124,541 373,624 186,812 93,406 46,703 140,110 70,055 210,166 105,083 315,250 157,625 472,876 236,438 118,219 354,658 177,329 531,988 265,994 132,997 398,992 199,496 99,748 49,874 24,937 74,812 37,406 18,703 56,110 28,055 84,166 42,083 126,250 63,125

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