λ
Sequence Observatory

2,283,435

32 × 5 × 7 × 11 × 659
Abundant Odd Composite

Starting at 2,283,435, the Collatz iteration reaches 1 after 130 steps. The first transition is 6850306; the starting value is odd with 48 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 11 × 659
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,942,080
Proper Divisor Sum 2,658,645
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2283433 ← → #2283443

Radix Representation

Decimal 2283435
Binary 1000101101011110101011 (22 bits)
Octal 0o10553653
Hexadecimal 0x22D7AB

Divisor Catalog (48)

1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 659 693 1,155 1,977 3,295 3,465 4,613 5,931 7,249 9,885 13,839 21,747 23,065 29,655 36,245 41,517 50,743 65,241 69,195 108,735 152,229 207,585 253,715 326,205 456,687 761,145 2,283,435

Collatz Trajectory (130 steps to reach 1)

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

2,283,435 6,850,306 3,425,153 10,275,460 5,137,730 2,568,865 7,706,596 3,853,298 1,926,649 5,779,948 2,889,974 1,444,987 4,334,962 2,167,481 6,502,444 3,251,222 1,625,611 4,876,834 2,438,417 7,315,252 3,657,626 1,828,813 5,486,440 2,743,220 1,371,610 685,805 2,057,416 1,028,708 514,354 257,177 771,532 385,766 192,883 578,650 289,325 867,976 433,988 216,994 108,497 325,492 162,746 81,373 244,120 122,060 61,030 30,515 91,546 45,773 137,320 68,660 34,330 17,165 51,496 25,748 12,874 6,437 19,312 9,656 4,828 2,414

More profiles

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