λ
Prime Ledger

40,029

3 × 11 × 1213
Deficient Odd Composite

40,029 has the prime decomposition 3 × 11 × 1213. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 11 × 1213
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 58,272
Proper Divisor Sum 18,243
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #40013 ← → #40031

Radix Representation

Decimal 40029
Binary 1001110001011101 (16 bits)
Octal 0o116135
Hexadecimal 0x9C5D

Divisor Catalog (8)

1 3 11 33 1,213 3,639 13,343 40,029

Collatz Trajectory (181 steps to reach 1)

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

40,029 120,088 60,044 30,022 15,011 45,034 22,517 67,552 33,776 16,888 8,444 4,222 2,111 6,334 3,167 9,502 4,751 14,254 7,127 21,382 10,691 32,074 16,037 48,112 24,056 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394 25,697 77,092 38,546 19,273 57,820 28,910 14,455 43,366 21,683 65,050 32,525 97,576 48,788 24,394 12,197 36,592 18,296 9,148

More profiles

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