λ
Integer Codex

8,470,107

32 × 941123
Deficient Odd Composite

For 8,470,107, the 6 positive divisors have a total of 12,234,612. Removing 8,470,107 leaves 3,764,505, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 941123
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 12,234,612
Proper Divisor Sum 3,764,505
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8470081 ← → #8470109

Radix Representation

Decimal 8470107
Binary 100000010011111001011011 (24 bits)
Octal 0o40237133
Hexadecimal 0x813E5B

Divisor Catalog (6)

1 3 9 941,123 2,823,369 8,470,107

Collatz Trajectory (155 steps to reach 1)

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

8,470,107 25,410,322 12,705,161 38,115,484 19,057,742 9,528,871 28,586,614 14,293,307 42,879,922 21,439,961 64,319,884 32,159,942 16,079,971 48,239,914 24,119,957 72,359,872 36,179,936 18,089,968 9,044,984 4,522,492 2,261,246 1,130,623 3,391,870 1,695,935 5,087,806 2,543,903 7,631,710 3,815,855 11,447,566 5,723,783 17,171,350 8,585,675 25,757,026 12,878,513 38,635,540 19,317,770 9,658,885 28,976,656 14,488,328 7,244,164 3,622,082 1,811,041 5,433,124 2,716,562 1,358,281 4,074,844 2,037,422 1,018,711 3,056,134 1,528,067 4,584,202 2,292,101 6,876,304 3,438,152 1,719,076 859,538 429,769 1,289,308 644,654 322,327

More profiles

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