λ
Harmonic Matrix

7,681,361

7681361
Deficient Odd Prime

7,681,361 has digital root 5. The neighboring primes are 7681357 and 7681363; its proper-divisor sum differs from the starting integer by -7,681,360.

Prime Factor Structure

Factorization String 7681361
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,681,362
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7681357 ← → #7681363

Radix Representation

Decimal 7681361
Binary 11101010011010101010001 (23 bits)
Octal 0o35232521
Hexadecimal 0x753551

Divisor Catalog (2)

Collatz Trajectory (204 steps to reach 1)

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

7,681,361 23,044,084 11,522,042 5,761,021 17,283,064 8,641,532 4,320,766 2,160,383 6,481,150 3,240,575 9,721,726 4,860,863 14,582,590 7,291,295 21,873,886 10,936,943 32,810,830 16,405,415 49,216,246 24,608,123 73,824,370 36,912,185 110,736,556 55,368,278 27,684,139 83,052,418 41,526,209 124,578,628 62,289,314 31,144,657 93,433,972 46,716,986 23,358,493 70,075,480 35,037,740 17,518,870 8,759,435 26,278,306 13,139,153 39,417,460 19,708,730 9,854,365 29,563,096 14,781,548 7,390,774 3,695,387 11,086,162 5,543,081 16,629,244 8,314,622 4,157,311 12,471,934 6,235,967 18,707,902 9,353,951 28,061,854 14,030,927 42,092,782 21,046,391 63,139,174

More profiles

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