λ
Harmonic Matrix

7,746,953

7746953
Deficient Odd Prime

7,746,953 has digital root 5. The neighboring primes are 7746943 and 7746967; its proper-divisor sum differs from the starting integer by -7,746,952.

Prime Factor Structure

Factorization String 7746953
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,746,954
Proper Divisor Sum 1
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #7746943 ← → #7746967

Radix Representation

Decimal 7746953
Binary 11101100011010110001001 (23 bits)
Octal 0o35432611
Hexadecimal 0x763589

Divisor Catalog (2)

Collatz Trajectory (111 steps to reach 1)

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

7,746,953 23,240,860 11,620,430 5,810,215 17,430,646 8,715,323 26,145,970 13,072,985 39,218,956 19,609,478 9,804,739 29,414,218 14,707,109 44,121,328 22,060,664 11,030,332 5,515,166 2,757,583 8,272,750 4,136,375 12,409,126 6,204,563 18,613,690 9,306,845 27,920,536 13,960,268 6,980,134 3,490,067 10,470,202 5,235,101 15,705,304 7,852,652 3,926,326 1,963,163 5,889,490 2,944,745 8,834,236 4,417,118 2,208,559 6,625,678 3,312,839 9,938,518 4,969,259 14,907,778 7,453,889 22,361,668 11,180,834 5,590,417 16,771,252 8,385,626 4,192,813 12,578,440 6,289,220 3,144,610 1,572,305 4,716,916 2,358,458 1,179,229 3,537,688 1,768,844

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