λ
Harmonic Matrix

7,607,176

23 × 367 × 2591
Deficient Even Composite

7,607,176 has digital root 7. The neighboring primes are 7607167 and 7607179; its proper-divisor sum differs from the starting integer by -906,512.

Prime Factor Structure

Factorization String 2^3 × 367 × 2591
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,307,840
Proper Divisor Sum 6,700,664
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7607167 ← → #7607179

Radix Representation

Decimal 7607176
Binary 11101000001001110001000 (23 bits)
Octal 0o35011610
Hexadecimal 0x741388

Divisor Catalog (16)

1 2 4 8 367 734 1,468 2,591 2,936 5,182 10,364 20,728 950,897 1,901,794 3,803,588 7,607,176

Collatz Trajectory (142 steps to reach 1)

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

7,607,176 3,803,588 1,901,794 950,897 2,852,692 1,426,346 713,173 2,139,520 1,069,760 534,880 267,440 133,720 66,860 33,430 16,715 50,146 25,073 75,220 37,610 18,805 56,416 28,208 14,104 7,052 3,526 1,763 5,290 2,645 7,936 3,968 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233

More profiles

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