λ
Sequence Observatory

8,813,315

5 × 7 × 251809
Deficient Odd Composite

Starting at 8,813,315, the Collatz iteration reaches 1 after 181 steps. The first transition is 26439946; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 251809
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,086,880
Proper Divisor Sum 3,273,565
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8813291 ← → #8813353

Radix Representation

Decimal 8813315
Binary 100001100111101100000011 (24 bits)
Octal 0o41475403
Hexadecimal 0x867B03

Divisor Catalog (8)

1 5 7 35 251,809 1,259,045 1,762,663 8,813,315

Collatz Trajectory (181 steps to reach 1)

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

8,813,315 26,439,946 13,219,973 39,659,920 19,829,960 9,914,980 4,957,490 2,478,745 7,436,236 3,718,118 1,859,059 5,577,178 2,788,589 8,365,768 4,182,884 2,091,442 1,045,721 3,137,164 1,568,582 784,291 2,352,874 1,176,437 3,529,312 1,764,656 882,328 441,164 220,582 110,291 330,874 165,437 496,312 248,156 124,078 62,039 186,118 93,059 279,178 139,589 418,768 209,384 104,692 52,346 26,173 78,520 39,260 19,630 9,815 29,446 14,723 44,170 22,085 66,256 33,128 16,564 8,282 4,141 12,424 6,212 3,106 1,553

More profiles

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