λ
Sequence Observatory
Atlas › Integer Profiles › Node 2,337,880

2,337,880

23 × 5 × 211 × 277
Abundant Even Composite

Starting at 2,337,880, the Collatz iteration reaches 1 after 148 steps. The first transition is 1168940; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 211 × 277
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,304,240
Proper Divisor Sum 2,966,360
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2337871 ← → #2337889

Radix Representation

Decimal 2337880
Binary 1000111010110001011000 (22 bits)
Octal 0o10726130
Hexadecimal 0x23AC58

Divisor Catalog (32)

1 2 4 5 8 10 20 40 211 277 422 554 844 1,055 1,108 1,385 1,688 2,110 2,216 2,770 4,220 5,540 8,440 11,080 58,447 116,894 233,788 292,235 467,576 584,470 1,168,940 2,337,880

Collatz Trajectory (148 steps to reach 1)

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

2,337,880 1,168,940 584,470 292,235 876,706 438,353 1,315,060 657,530 328,765 986,296 493,148 246,574 123,287 369,862 184,931 554,794 277,397 832,192 416,096 208,048 104,024 52,012 26,006 13,003 39,010 19,505 58,516 29,258 14,629 43,888 21,944 10,972 5,486 2,743 8,230 4,115 12,346 6,173 18,520 9,260 4,630 2,315 6,946 3,473 10,420 5,210 2,605 7,816 3,908 1,954 977 2,932 1,466 733 2,200 1,100 550 275 826 413

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