λ
Sequence Observatory

1,185,680

24 × 5 × 14821
Abundant Even Composite

Starting at 1,185,680, the Collatz iteration reaches 1 after 160 steps. The first transition is 592840; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 5 × 14821
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 2,756,892
Proper Divisor Sum 1,571,212
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1185677 ← → #1185683

Radix Representation

Decimal 1185680
Binary 100100001011110010000 (21 bits)
Octal 0o4413620
Hexadecimal 0x121790

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 14,821 29,642 59,284 74,105 118,568 148,210 237,136 296,420 592,840 1,185,680

Collatz Trajectory (160 steps to reach 1)

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

1,185,680 592,840 296,420 148,210 74,105 222,316 111,158 55,579 166,738 83,369 250,108 125,054 62,527 187,582 93,791 281,374 140,687 422,062 211,031 633,094 316,547 949,642 474,821 1,424,464 712,232 356,116 178,058 89,029 267,088 133,544 66,772 33,386 16,693 50,080 25,040 12,520 6,260 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214

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