λ
Sequence Observatory

9,031,292

22 × 31 × 173 × 421
Deficient Even Composite

Starting at 9,031,292, the Collatz iteration reaches 1 after 163 steps. The first transition is 4515646; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 31 × 173 × 421
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,447,872
Proper Divisor Sum 7,416,580
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #9031291 ← → #9031303

Radix Representation

Decimal 9031292
Binary 100010011100111001111100 (24 bits)
Octal 0o42347174
Hexadecimal 0x89CE7C

Divisor Catalog (24)

1 2 4 31 62 124 173 346 421 692 842 1,684 5,363 10,726 13,051 21,452 26,102 52,204 72,833 145,666 291,332 2,257,823 4,515,646 9,031,292

Collatz Trajectory (163 steps to reach 1)

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

9,031,292 4,515,646 2,257,823 6,773,470 3,386,735 10,160,206 5,080,103 15,240,310 7,620,155 22,860,466 11,430,233 34,290,700 17,145,350 8,572,675 25,718,026 12,859,013 38,577,040 19,288,520 9,644,260 4,822,130 2,411,065 7,233,196 3,616,598 1,808,299 5,424,898 2,712,449 8,137,348 4,068,674 2,034,337 6,103,012 3,051,506 1,525,753 4,577,260 2,288,630 1,144,315 3,432,946 1,716,473 5,149,420 2,574,710 1,287,355 3,862,066 1,931,033 5,793,100 2,896,550 1,448,275 4,344,826 2,172,413 6,517,240 3,258,620 1,629,310 814,655 2,443,966 1,221,983 3,665,950 1,832,975 5,498,926 2,749,463 8,248,390 4,124,195 12,372,586

More profiles

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