9,461,792

2⁵ × 17 × 17393

Starting at 9,461,792, the Collatz iteration reaches 1 after 163 steps. The first transition is 4730896; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 17 × 17393

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 19,724,796

Proper Divisor Sum 10,263,004

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #9461783 ← → #9461797

Radix Representation

Decimal	9461792
Binary	100100000110000000100000 (24 bits)
Octal	0o44060040
Hexadecimal	0x906020

Divisor Catalog (24)

1 2 4 8 16 17 32 34 68 136 272 544 17,393 34,786 69,572 139,144 278,288 295,681 556,576 591,362 1,182,724 2,365,448 4,730,896 9,461,792

Collatz Trajectory (163 steps to reach 1)

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

9,461,792 4,730,896 2,365,448 1,182,724 591,362 295,681 887,044 443,522 221,761 665,284 332,642 166,321 498,964 249,482 124,741 374,224 187,112 93,556 46,778 23,389 70,168 35,084 17,542 8,771 26,314 13,157 39,472 19,736 9,868 4,934 2,467 7,402 3,701 11,104 5,552 2,776 1,388 694 347 1,042 521 1,564 782 391 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47

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