λ
Sequence Observatory

2,553,860

22 × 5 × 149 × 857
Abundant Even Composite

Starting at 2,553,860, the Collatz iteration reaches 1 after 81 steps. The first transition is 1276930; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 149 × 857
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,405,400
Proper Divisor Sum 2,851,540
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2553857 ← → #2553869

Radix Representation

Decimal 2553860
Binary 1001101111100000000100 (22 bits)
Octal 0o11574004
Hexadecimal 0x26F804

Divisor Catalog (24)

1 2 4 5 10 20 149 298 596 745 857 1,490 1,714 2,980 3,428 4,285 8,570 17,140 127,693 255,386 510,772 638,465 1,276,930 2,553,860

Collatz Trajectory (81 steps to reach 1)

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

2,553,860 1,276,930 638,465 1,915,396 957,698 478,849 1,436,548 718,274 359,137 1,077,412 538,706 269,353 808,060 404,030 202,015 606,046 303,023 909,070 454,535 1,363,606 681,803 2,045,410 1,022,705 3,068,116 1,534,058 767,029 2,301,088 1,150,544 575,272 287,636 143,818 71,909 215,728 107,864 53,932 26,966 13,483 40,450 20,225 60,676 30,338 15,169 45,508 22,754 11,377 34,132 17,066 8,533 25,600 12,800 6,400 3,200 1,600 800 400 200 100 50 25 76

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