λ
Sequence Observatory

9,182,229

3 × 7 × 59 × 7411
Deficient Odd Composite

Starting at 9,182,229, the Collatz iteration reaches 1 after 181 steps. The first transition is 27546688; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 59 × 7411
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,231,040
Proper Divisor Sum 5,048,811
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9182171 ← → #9182233

Radix Representation

Decimal 9182229
Binary 100011000001110000010101 (24 bits)
Octal 0o43016025
Hexadecimal 0x8C1C15

Divisor Catalog (16)

1 3 7 21 59 177 413 1,239 7,411 22,233 51,877 155,631 437,249 1,311,747 3,060,743 9,182,229

Collatz Trajectory (181 steps to reach 1)

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

9,182,229 27,546,688 13,773,344 6,886,672 3,443,336 1,721,668 860,834 430,417 1,291,252 645,626 322,813 968,440 484,220 242,110 121,055 363,166 181,583 544,750 272,375 817,126 408,563 1,225,690 612,845 1,838,536 919,268 459,634 229,817 689,452 344,726 172,363 517,090 258,545 775,636 387,818 193,909 581,728 290,864 145,432 72,716 36,358 18,179 54,538 27,269 81,808 40,904 20,452 10,226 5,113 15,340 7,670 3,835 11,506 5,753 17,260 8,630 4,315 12,946 6,473 19,420 9,710

More profiles

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