λ
Harmonic Matrix

6,718,145

5 × 72 × 17 × 1613
Deficient Odd Composite

6,718,145 has digital root 5. The neighboring primes are 6718099 and 6718163; its proper-divisor sum differs from the starting integer by -3,500,506.

Prime Factor Structure

Factorization String 5 × 7^2 × 17 × 1613
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,935,784
Proper Divisor Sum 3,217,639
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #6718099 ← → #6718163

Radix Representation

Decimal 6718145
Binary 11001101000001011000001 (23 bits)
Octal 0o31501301
Hexadecimal 0x6682C1

Divisor Catalog (24)

1 5 7 17 35 49 85 119 245 595 833 1,613 4,165 8,065 11,291 27,421 56,455 79,037 137,105 191,947 395,185 959,735 1,343,629 6,718,145

Collatz Trajectory (253 steps to reach 1)

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

6,718,145 20,154,436 10,077,218 5,038,609 15,115,828 7,557,914 3,778,957 11,336,872 5,668,436 2,834,218 1,417,109 4,251,328 2,125,664 1,062,832 531,416 265,708 132,854 66,427 199,282 99,641 298,924 149,462 74,731 224,194 112,097 336,292 168,146 84,073 252,220 126,110 63,055 189,166 94,583 283,750 141,875 425,626 212,813 638,440 319,220 159,610 79,805 239,416 119,708 59,854 29,927 89,782 44,891 134,674 67,337 202,012 101,006 50,503 151,510 75,755 227,266 113,633 340,900 170,450 85,225 255,676

More profiles

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