λ
Sequence Observatory

283,155

3 × 5 × 43 × 439
Deficient Odd Composite

Starting at 283,155, the Collatz iteration reaches 1 after 83 steps. The first transition is 849466; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 43 × 439
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 464,640
Proper Divisor Sum 181,485
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #283139 ← → #283159

Radix Representation

Decimal 283155
Binary 1000101001000010011 (19 bits)
Octal 0o1051023
Hexadecimal 0x45213

Divisor Catalog (16)

1 3 5 15 43 129 215 439 645 1,317 2,195 6,585 18,877 56,631 94,385 283,155

Collatz Trajectory (83 steps to reach 1)

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

283,155 849,466 424,733 1,274,200 637,100 318,550 159,275 477,826 238,913 716,740 358,370 179,185 537,556 268,778 134,389 403,168 201,584 100,792 50,396 25,198 12,599 37,798 18,899 56,698 28,349 85,048 42,524 21,262 10,631 31,894 15,947 47,842 23,921 71,764 35,882 17,941 53,824 26,912 13,456 6,728 3,364 1,682 841 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50

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