8,282,035

5 × 929 × 1783

Starting at 8,282,035, the Collatz iteration reaches 1 after 155 steps. The first transition is 24846106; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 929 × 1783

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,954,720

Proper Divisor Sum 1,672,685

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #8282003 ← → #8282039

Radix Representation

Decimal	8282035
Binary	11111100101111110110011 (23 bits)
Octal	0o37457663
Hexadecimal	0x7E5FB3

Divisor Catalog (8)

1 5 929 1,783 4,645 8,915 1,656,407 8,282,035

Collatz Trajectory (155 steps to reach 1)

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

8,282,035 24,846,106 12,423,053 37,269,160 18,634,580 9,317,290 4,658,645 13,975,936 6,987,968 3,493,984 1,746,992 873,496 436,748 218,374 109,187 327,562 163,781 491,344 245,672 122,836 61,418 30,709 92,128 46,064 23,032 11,516 5,758 2,879 8,638 4,319 12,958 6,479 19,438 9,719 29,158 14,579 43,738 21,869 65,608 32,804 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786 3,893 11,680 5,840 2,920 1,460

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