λ
Harmonic Matrix

4,634,097

3 × 13 × 31 × 3833
Deficient Odd Composite

4,634,097 has digital root 6. The neighboring primes are 4634093 and 4634111; its proper-divisor sum differs from the starting integer by -2,397,666.

Prime Factor Structure

Factorization String 3 × 13 × 31 × 3833
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,870,528
Proper Divisor Sum 2,236,431
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4634093 ← → #4634111

Radix Representation

Decimal 4634097
Binary 10001101011010111110001 (23 bits)
Octal 0o21532761
Hexadecimal 0x46B5F1

Divisor Catalog (16)

1 3 13 31 39 93 403 1,209 3,833 11,499 49,829 118,823 149,487 356,469 1,544,699 4,634,097

Collatz Trajectory (162 steps to reach 1)

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

4,634,097 13,902,292 6,951,146 3,475,573 10,426,720 5,213,360 2,606,680 1,303,340 651,670 325,835 977,506 488,753 1,466,260 733,130 366,565 1,099,696 549,848 274,924 137,462 68,731 206,194 103,097 309,292 154,646 77,323 231,970 115,985 347,956 173,978 86,989 260,968 130,484 65,242 32,621 97,864 48,932 24,466 12,233 36,700 18,350 9,175 27,526 13,763 41,290 20,645 61,936 30,968 15,484 7,742 3,871 11,614 5,807 17,422 8,711 26,134 13,067 39,202 19,601 58,804 29,402

More profiles

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