8,223,878

2 × 13² × 29 × 839

8,223,878 factors as 2 × 13^2 × 29 × 839. Its 24 positive divisors give a proper-divisor sum of 5,610,922, so this integer is deficient. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2 × 13^2 × 29 × 839

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,834,800

Proper Divisor Sum 5,610,922

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #8223877 ← → #8223881

Radix Representation

Decimal	8223878
Binary	11111010111110010000110 (23 bits)
Octal	0o37276206
Hexadecimal	0x7D7C86

Divisor Catalog (24)

Collatz Trajectory (93 steps to reach 1)

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

8,223,878 4,111,939 12,335,818 6,167,909 18,503,728 9,251,864 4,625,932 2,312,966 1,156,483 3,469,450 1,734,725 5,204,176 2,602,088 1,301,044 650,522 325,261 975,784 487,892 243,946 121,973 365,920 182,960 91,480 45,740 22,870 11,435 34,306 17,153 51,460 25,730 12,865 38,596 19,298 9,649 28,948 14,474 7,237 21,712 10,856 5,428 2,714 1,357 4,072 2,036 1,018 509 1,528 764 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457

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