λ
Prime Ledger

396,877

13 × 30529
Deficient Odd Composite

396,877 has the prime decomposition 13 × 30529. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 13 × 30529
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 427,420
Proper Divisor Sum 30,543
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #396871 ← → #396881

Radix Representation

Decimal 396877
Binary 1100000111001001101 (19 bits)
Octal 0o1407115
Hexadecimal 0x60E4D

Divisor Catalog (4)

1 13 30,529 396,877

Collatz Trajectory (192 steps to reach 1)

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

396,877 1,190,632 595,316 297,658 148,829 446,488 223,244 111,622 55,811 167,434 83,717 251,152 125,576 62,788 31,394 15,697 47,092 23,546 11,773 35,320 17,660 8,830 4,415 13,246 6,623 19,870 9,935 29,806 14,903 44,710 22,355 67,066 33,533 100,600 50,300 25,150 12,575 37,726 18,863 56,590 28,295 84,886 42,443 127,330 63,665 190,996 95,498 47,749 143,248 71,624 35,812 17,906 8,953 26,860 13,430 6,715 20,146 10,073 30,220 15,110

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