λ
Sequence Observatory

8,276,109

3 × 53 × 52051
Deficient Odd Composite

Starting at 8,276,109, the Collatz iteration reaches 1 after 155 steps. The first transition is 24828328; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 53 × 52051
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,243,232
Proper Divisor Sum 2,967,123
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8276087 ← → #8276111

Radix Representation

Decimal 8276109
Binary 11111100100100010001101 (23 bits)
Octal 0o37444215
Hexadecimal 0x7E488D

Divisor Catalog (8)

1 3 53 159 52,051 156,153 2,758,703 8,276,109

Collatz Trajectory (155 steps to reach 1)

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

8,276,109 24,828,328 12,414,164 6,207,082 3,103,541 9,310,624 4,655,312 2,327,656 1,163,828 581,914 290,957 872,872 436,436 218,218 109,109 327,328 163,664 81,832 40,916 20,458 10,229 30,688 15,344 7,672 3,836 1,918 959 2,878 1,439 4,318 2,159 6,478 3,239 9,718 4,859 14,578 7,289 21,868 10,934 5,467 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786 3,893 11,680 5,840 2,920 1,460

More profiles

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