λ
Harmonic Matrix

7,262,761

11 × 660251
Deficient Odd Composite

7,262,761 has digital root 4. The neighboring primes are 7262753 and 7262797; its proper-divisor sum differs from the starting integer by -6,602,498.

Prime Factor Structure

Factorization String 11 × 660251
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,923,024
Proper Divisor Sum 660,263
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7262753 ← → #7262797

Radix Representation

Decimal 7262761
Binary 11011101101001000101001 (23 bits)
Octal 0o33551051
Hexadecimal 0x6ED229

Divisor Catalog (4)

1 11 660,251 7,262,761

Collatz Trajectory (129 steps to reach 1)

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

7,262,761 21,788,284 10,894,142 5,447,071 16,341,214 8,170,607 24,511,822 12,255,911 36,767,734 18,383,867 55,151,602 27,575,801 82,727,404 41,363,702 20,681,851 62,045,554 31,022,777 93,068,332 46,534,166 23,267,083 69,801,250 34,900,625 104,701,876 52,350,938 26,175,469 78,526,408 39,263,204 19,631,602 9,815,801 29,447,404 14,723,702 7,361,851 22,085,554 11,042,777 33,128,332 16,564,166 8,282,083 24,846,250 12,423,125 37,269,376 18,634,688 9,317,344 4,658,672 2,329,336 1,164,668 582,334 291,167 873,502 436,751 1,310,254 655,127 1,965,382 982,691 2,948,074 1,474,037 4,422,112 2,211,056 1,105,528 552,764 276,382

More profiles

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