λ
Sequence Observatory

2,274,679

113 × 1709
Deficient Odd Composite

Starting at 2,274,679, the Collatz iteration reaches 1 after 86 steps. The first transition is 6824038; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 11^3 × 1709
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,503,440
Proper Divisor Sum 228,761
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #2274667 ← → #2274683

Radix Representation

Decimal 2274679
Binary 1000101011010101110111 (22 bits)
Octal 0o10532567
Hexadecimal 0x22B577

Divisor Catalog (8)

1 11 121 1,331 1,709 18,799 206,789 2,274,679

Collatz Trajectory (86 steps to reach 1)

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

2,274,679 6,824,038 3,412,019 10,236,058 5,118,029 15,354,088 7,677,044 3,838,522 1,919,261 5,757,784 2,878,892 1,439,446 719,723 2,159,170 1,079,585 3,238,756 1,619,378 809,689 2,429,068 1,214,534 607,267 1,821,802 910,901 2,732,704 1,366,352 683,176 341,588 170,794 85,397 256,192 128,096 64,048 32,024 16,012 8,006 4,003 12,010 6,005 18,016 9,008 4,504 2,252 1,126 563 1,690 845 2,536 1,268 634 317 952 476 238 119 358 179 538 269 808 404

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