λ
Harmonic Matrix

4,718,103

3 × 13 × 120977
Deficient Odd Composite

4,718,103 has digital root 6. The neighboring primes are 4718093 and 4718111; its proper-divisor sum differs from the starting integer by -2,661,438.

Prime Factor Structure

Factorization String 3 × 13 × 120977
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,774,768
Proper Divisor Sum 2,056,665
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4718093 ← → #4718111

Radix Representation

Decimal 4718103
Binary 10001111111111000010111 (23 bits)
Octal 0o21777027
Hexadecimal 0x47FE17

Divisor Catalog (8)

1 3 13 39 120,977 362,931 1,572,701 4,718,103

Collatz Trajectory (162 steps to reach 1)

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

4,718,103 14,154,310 7,077,155 21,231,466 10,615,733 31,847,200 15,923,600 7,961,800 3,980,900 1,990,450 995,225 2,985,676 1,492,838 746,419 2,239,258 1,119,629 3,358,888 1,679,444 839,722 419,861 1,259,584 629,792 314,896 157,448 78,724 39,362 19,681 59,044 29,522 14,761 44,284 22,142 11,071 33,214 16,607 49,822 24,911 74,734 37,367 112,102 56,051 168,154 84,077 252,232 126,116 63,058 31,529 94,588 47,294 23,647 70,942 35,471 106,414 53,207 159,622 79,811 239,434 119,717 359,152 179,576

More profiles

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