λ
Sequence Observatory

9,932,276

22 × 31 × 173 × 463
Deficient Even Composite

Starting at 9,932,276, the Collatz iteration reaches 1 after 145 steps. The first transition is 4966138; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 31 × 173 × 463
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 18,084,864
Proper Divisor Sum 8,152,588
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #9932257 ← → #9932303

Radix Representation

Decimal 9932276
Binary 100101111000110111110100 (24 bits)
Octal 0o45706764
Hexadecimal 0x978DF4

Divisor Catalog (24)

1 2 4 31 62 124 173 346 463 692 926 1,852 5,363 10,726 14,353 21,452 28,706 57,412 80,099 160,198 320,396 2,483,069 4,966,138 9,932,276

Collatz Trajectory (145 steps to reach 1)

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

9,932,276 4,966,138 2,483,069 7,449,208 3,724,604 1,862,302 931,151 2,793,454 1,396,727 4,190,182 2,095,091 6,285,274 3,142,637 9,427,912 4,713,956 2,356,978 1,178,489 3,535,468 1,767,734 883,867 2,651,602 1,325,801 3,977,404 1,988,702 994,351 2,983,054 1,491,527 4,474,582 2,237,291 6,711,874 3,355,937 10,067,812 5,033,906 2,516,953 7,550,860 3,775,430 1,887,715 5,663,146 2,831,573 8,494,720 4,247,360 2,123,680 1,061,840 530,920 265,460 132,730 66,365 199,096 99,548 49,774 24,887 74,662 37,331 111,994 55,997 167,992 83,996 41,998 20,999 62,998

More profiles

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