λ
Sequence Observatory

8,480,701

31 × 317 × 863
Deficient Odd Composite

Starting at 8,480,701, the Collatz iteration reaches 1 after 274 steps. The first transition is 25442104; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 31 × 317 × 863
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,792,064
Proper Divisor Sum 311,363
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8480699 ← → #8480741

Radix Representation

Decimal 8480701
Binary 100000010110011110111101 (24 bits)
Octal 0o40263675
Hexadecimal 0x8167BD

Divisor Catalog (8)

1 31 317 863 9,827 26,753 273,571 8,480,701

Collatz Trajectory (274 steps to reach 1)

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

8,480,701 25,442,104 12,721,052 6,360,526 3,180,263 9,540,790 4,770,395 14,311,186 7,155,593 21,466,780 10,733,390 5,366,695 16,100,086 8,050,043 24,150,130 12,075,065 36,225,196 18,112,598 9,056,299 27,168,898 13,584,449 40,753,348 20,376,674 10,188,337 30,565,012 15,282,506 7,641,253 22,923,760 11,461,880 5,730,940 2,865,470 1,432,735 4,298,206 2,149,103 6,447,310 3,223,655 9,670,966 4,835,483 14,506,450 7,253,225 21,759,676 10,879,838 5,439,919 16,319,758 8,159,879 24,479,638 12,239,819 36,719,458 18,359,729 55,079,188 27,539,594 13,769,797 41,309,392 20,654,696 10,327,348 5,163,674 2,581,837 7,745,512 3,872,756 1,936,378

More profiles

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