λ
Sequence Observatory

1,841,640

23 × 3 × 5 × 103 × 149
Abundant Even Composite

Starting at 1,841,640, the Collatz iteration reaches 1 after 140 steps. The first transition is 920820; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 103 × 149
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 5,616,000
Proper Divisor Sum 3,774,360
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1841639 ← → #1841641

Radix Representation

Decimal 1841640
Binary 111000001100111101000 (21 bits)
Octal 0o7014750
Hexadecimal 0x1C19E8

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 103 120 149 206 298 309 412 447 515 596 618 745 824 894 1,030 1,192 1,236 1,490 1,545 1,788 2,060 2,235 2,472 2,980 3,090 3,576 4,120 4,470 5,960 6,180 8,940 12,360 15,347 17,880 30,694 46,041 61,388 76,735 92,082 122,776 153,470 184,164 230,205 306,940 368,328

Collatz Trajectory (140 steps to reach 1)

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

1,841,640 920,820 460,410 230,205 690,616 345,308 172,654 86,327 258,982 129,491 388,474 194,237 582,712 291,356 145,678 72,839 218,518 109,259 327,778 163,889 491,668 245,834 122,917 368,752 184,376 92,188 46,094 23,047 69,142 34,571 103,714 51,857 155,572 77,786 38,893 116,680 58,340 29,170 14,585 43,756 21,878 10,939 32,818 16,409 49,228 24,614 12,307 36,922 18,461 55,384 27,692 13,846 6,923 20,770 10,385 31,156 15,578 7,789 23,368 11,684

More profiles

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