9,074,723

7 × 19 × 31² × 71

Starting at 9,074,723, the Collatz iteration reaches 1 after 225 steps. The first transition is 27224170; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 7 × 19 × 31^2 × 71

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,439,360

Proper Divisor Sum 2,364,637

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #9074711 ← → #9074771

Radix Representation

Decimal	9074723
Binary	100010100111100000100011 (24 bits)
Octal	0o42474043
Hexadecimal	0x8A7823

Divisor Catalog (24)

1 7 19 31 71 133 217 497 589 961 1,349 2,201 4,123 6,727 9,443 15,407 18,259 41,819 68,231 127,813 292,733 477,617 1,296,389 9,074,723

Collatz Trajectory (225 steps to reach 1)

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

9,074,723 27,224,170 13,612,085 40,836,256 20,418,128 10,209,064 5,104,532 2,552,266 1,276,133 3,828,400 1,914,200 957,100 478,550 239,275 717,826 358,913 1,076,740 538,370 269,185 807,556 403,778 201,889 605,668 302,834 151,417 454,252 227,126 113,563 340,690 170,345 511,036 255,518 127,759 383,278 191,639 574,918 287,459 862,378 431,189 1,293,568 646,784 323,392 161,696 80,848 40,424 20,212 10,106 5,053 15,160 7,580 3,790 1,895 5,686 2,843 8,530 4,265 12,796 6,398 3,199 9,598

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