λ
Sequence Observatory

9,872,543

23 × 429241
Deficient Odd Composite

Starting at 9,872,543, the Collatz iteration reaches 1 after 168 steps. The first transition is 29617630; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 23 × 429241
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,301,808
Proper Divisor Sum 429,265
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #9872521 ← → #9872567

Radix Representation

Decimal 9872543
Binary 100101101010010010011111 (24 bits)
Octal 0o45522237
Hexadecimal 0x96A49F

Divisor Catalog (4)

1 23 429,241 9,872,543

Collatz Trajectory (168 steps to reach 1)

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

9,872,543 29,617,630 14,808,815 44,426,446 22,213,223 66,639,670 33,319,835 99,959,506 49,979,753 149,939,260 74,969,630 37,484,815 112,454,446 56,227,223 168,681,670 84,340,835 253,022,506 126,511,253 379,533,760 189,766,880 94,883,440 47,441,720 23,720,860 11,860,430 5,930,215 17,790,646 8,895,323 26,685,970 13,342,985 40,028,956 20,014,478 10,007,239 30,021,718 15,010,859 45,032,578 22,516,289 67,548,868 33,774,434 16,887,217 50,661,652 25,330,826 12,665,413 37,996,240 18,998,120 9,499,060 4,749,530 2,374,765 7,124,296 3,562,148 1,781,074 890,537 2,671,612 1,335,806 667,903 2,003,710 1,001,855 3,005,566 1,502,783 4,508,350 2,254,175

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