λ
Harmonic Matrix

7,760,611

7760611
Deficient Odd Prime

7,760,611 has digital root 1. The neighboring primes are 7760609 and 7760617; its proper-divisor sum differs from the starting integer by -7,760,610.

Prime Factor Structure

Factorization String 7760611
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,760,612
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7760609 ← → #7760617

Radix Representation

Decimal 7760611
Binary 11101100110101011100011 (23 bits)
Octal 0o35465343
Hexadecimal 0x766AE3

Divisor Catalog (2)

Collatz Trajectory (217 steps to reach 1)

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

7,760,611 23,281,834 11,640,917 34,922,752 17,461,376 8,730,688 4,365,344 2,182,672 1,091,336 545,668 272,834 136,417 409,252 204,626 102,313 306,940 153,470 76,735 230,206 115,103 345,310 172,655 517,966 258,983 776,950 388,475 1,165,426 582,713 1,748,140 874,070 437,035 1,311,106 655,553 1,966,660 983,330 491,665 1,474,996 737,498 368,749 1,106,248 553,124 276,562 138,281 414,844 207,422 103,711 311,134 155,567 466,702 233,351 700,054 350,027 1,050,082 525,041 1,575,124 787,562 393,781 1,181,344 590,672 295,336

More profiles

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