λ
Sequence Observatory

2,516,401

2516401
Deficient Odd Prime

Starting at 2,516,401, the Collatz iteration reaches 1 after 156 steps. The first transition is 7549204; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 2516401
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,516,402
Proper Divisor Sum 1
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #2516377 ← → #2516411

Radix Representation

Decimal 2516401
Binary 1001100110010110110001 (22 bits)
Octal 0o11462661
Hexadecimal 0x2665B1

Divisor Catalog (2)

Collatz Trajectory (156 steps to reach 1)

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

2,516,401 7,549,204 3,774,602 1,887,301 5,661,904 2,830,952 1,415,476 707,738 353,869 1,061,608 530,804 265,402 132,701 398,104 199,052 99,526 49,763 149,290 74,645 223,936 111,968 55,984 27,992 13,996 6,998 3,499 10,498 5,249 15,748 7,874 3,937 11,812 5,906 2,953 8,860 4,430 2,215 6,646 3,323 9,970 4,985 14,956 7,478 3,739 11,218 5,609 16,828 8,414 4,207 12,622 6,311 18,934 9,467 28,402 14,201 42,604 21,302 10,651 31,954 15,977

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