λ
Sequence Observatory

1,389,580

22 × 5 × 17 × 61 × 67
Abundant Even Composite

Starting at 1,389,580, the Collatz iteration reaches 1 after 111 steps. The first transition is 694790; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 17 × 61 × 67
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 3,187,296
Proper Divisor Sum 1,797,716
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #1389569 ← → #1389587

Radix Representation

Decimal 1389580
Binary 101010011010000001100 (21 bits)
Octal 0o5232014
Hexadecimal 0x15340C

Divisor Catalog (48)

1 2 4 5 10 17 20 34 61 67 68 85 122 134 170 244 268 305 335 340 610 670 1,037 1,139 1,220 1,340 2,074 2,278 4,087 4,148 4,556 5,185 5,695 8,174 10,370 11,390 16,348 20,435 20,740 22,780 40,870 69,479 81,740 138,958 277,916 347,395 694,790 1,389,580

Collatz Trajectory (111 steps to reach 1)

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

1,389,580 694,790 347,395 1,042,186 521,093 1,563,280 781,640 390,820 195,410 97,705 293,116 146,558 73,279 219,838 109,919 329,758 164,879 494,638 247,319 741,958 370,979 1,112,938 556,469 1,669,408 834,704 417,352 208,676 104,338 52,169 156,508 78,254 39,127 117,382 58,691 176,074 88,037 264,112 132,056 66,028 33,014 16,507 49,522 24,761 74,284 37,142 18,571 55,714 27,857 83,572 41,786 20,893 62,680 31,340 15,670 7,835 23,506 11,753 35,260 17,630 8,815

More profiles

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