λ
Prime Ledger

8,013,407

23 × 31 × 11239
Deficient Odd Composite

8,013,407 has the prime decomposition 23 × 31 × 11239. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 23 × 31 × 11239
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,632,320
Proper Divisor Sum 618,913
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #8013403 ← → #8013433

Radix Representation

Decimal 8013407
Binary 11110100100011001011111 (23 bits)
Octal 0o36443137
Hexadecimal 0x7A465F

Divisor Catalog (8)

1 23 31 713 11,239 258,497 348,409 8,013,407

Collatz Trajectory (93 steps to reach 1)

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

8,013,407 24,040,222 12,020,111 36,060,334 18,030,167 54,090,502 27,045,251 81,135,754 40,567,877 121,703,632 60,851,816 30,425,908 15,212,954 7,606,477 22,819,432 11,409,716 5,704,858 2,852,429 8,557,288 4,278,644 2,139,322 1,069,661 3,208,984 1,604,492 802,246 401,123 1,203,370 601,685 1,805,056 902,528 451,264 225,632 112,816 56,408 28,204 14,102 7,051 21,154 10,577 31,732 15,866 7,933 23,800 11,900 5,950 2,975 8,926 4,463 13,390 6,695 20,086 10,043 30,130 15,065 45,196 22,598 11,299 33,898 16,949 50,848

More profiles

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