λ
Harmonic Matrix

7,740,217

7740217
Deficient Odd Prime

7,740,217 has digital root 1. The neighboring primes are 7740203 and 7740221; its proper-divisor sum differs from the starting integer by -7,740,216.

Prime Factor Structure

Factorization String 7740217
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,740,218
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7740203 ← → #7740221

Radix Representation

Decimal 7740217
Binary 11101100001101100111001 (23 bits)
Octal 0o35415471
Hexadecimal 0x761B39

Divisor Catalog (2)

Collatz Trajectory (111 steps to reach 1)

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

7,740,217 23,220,652 11,610,326 5,805,163 17,415,490 8,707,745 26,123,236 13,061,618 6,530,809 19,592,428 9,796,214 4,898,107 14,694,322 7,347,161 22,041,484 11,020,742 5,510,371 16,531,114 8,265,557 24,796,672 12,398,336 6,199,168 3,099,584 1,549,792 774,896 387,448 193,724 96,862 48,431 145,294 72,647 217,942 108,971 326,914 163,457 490,372 245,186 122,593 367,780 183,890 91,945 275,836 137,918 68,959 206,878 103,439 310,318 155,159 465,478 232,739 698,218 349,109 1,047,328 523,664 261,832 130,916 65,458 32,729 98,188 49,094

More profiles

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