λ
Harmonic Matrix

6,091,117

17 × 358301
Deficient Odd Composite

6,091,117 has digital root 7. The neighboring primes are 6091109 and 6091207; its proper-divisor sum differs from the starting integer by -5,732,798.

Prime Factor Structure

Factorization String 17 × 358301
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,449,436
Proper Divisor Sum 358,319
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #6091109 ← → #6091207

Radix Representation

Decimal 6091117
Binary 10111001111000101101101 (23 bits)
Octal 0o27170555
Hexadecimal 0x5CF16D

Divisor Catalog (4)

1 17 358,301 6,091,117

Collatz Trajectory (227 steps to reach 1)

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

6,091,117 18,273,352 9,136,676 4,568,338 2,284,169 6,852,508 3,426,254 1,713,127 5,139,382 2,569,691 7,709,074 3,854,537 11,563,612 5,781,806 2,890,903 8,672,710 4,336,355 13,009,066 6,504,533 19,513,600 9,756,800 4,878,400 2,439,200 1,219,600 609,800 304,900 152,450 76,225 228,676 114,338 57,169 171,508 85,754 42,877 128,632 64,316 32,158 16,079 48,238 24,119 72,358 36,179 108,538 54,269 162,808 81,404 40,702 20,351 61,054 30,527 91,582 45,791 137,374 68,687 206,062 103,031 309,094 154,547 463,642 231,821

More profiles

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