λ
Sequence Observatory

1,279,541

1279541
Deficient Odd Prime

Starting at 1,279,541, the Collatz iteration reaches 1 after 72 steps. The first transition is 3838624; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 1279541
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,279,542
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1279519 ← → #1279547

Radix Representation

Decimal 1279541
Binary 100111000011000110101 (21 bits)
Octal 0o4703065
Hexadecimal 0x138635

Divisor Catalog (2)

Collatz Trajectory (72 steps to reach 1)

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

1,279,541 3,838,624 1,919,312 959,656 479,828 239,914 119,957 359,872 179,936 89,968 44,984 22,492 11,246 5,623 16,870 8,435 25,306 12,653 37,960 18,980 9,490 4,745 14,236 7,118 3,559 10,678 5,339 16,018 8,009 24,028 12,014 6,007 18,022 9,011 27,034 13,517 40,552 20,276 10,138 5,069 15,208 7,604 3,802 1,901 5,704 2,852 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226

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