λ
Sequence Observatory

2,377,340

22 × 5 × 7 × 16981
Abundant Even Composite

Starting at 2,377,340, the Collatz iteration reaches 1 after 122 steps. The first transition is 1188670; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 16981
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,705,952
Proper Divisor Sum 3,328,612
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2377339 ← → #2377351

Radix Representation

Decimal 2377340
Binary 1001000100011001111100 (22 bits)
Octal 0o11043174
Hexadecimal 0x24467C

Divisor Catalog (24)

1 2 4 5 7 10 14 20 28 35 70 140 16,981 33,962 67,924 84,905 118,867 169,810 237,734 339,620 475,468 594,335 1,188,670 2,377,340

Collatz Trajectory (122 steps to reach 1)

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

2,377,340 1,188,670 594,335 1,783,006 891,503 2,674,510 1,337,255 4,011,766 2,005,883 6,017,650 3,008,825 9,026,476 4,513,238 2,256,619 6,769,858 3,384,929 10,154,788 5,077,394 2,538,697 7,616,092 3,808,046 1,904,023 5,712,070 2,856,035 8,568,106 4,284,053 12,852,160 6,426,080 3,213,040 1,606,520 803,260 401,630 200,815 602,446 301,223 903,670 451,835 1,355,506 677,753 2,033,260 1,016,630 508,315 1,524,946 762,473 2,287,420 1,143,710 571,855 1,715,566 857,783 2,573,350 1,286,675 3,860,026 1,930,013 5,790,040 2,895,020 1,447,510 723,755 2,171,266 1,085,633 3,256,900

More profiles

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