λ
Harmonic Matrix

7,615,399

11 × 692309
Deficient Odd Composite

7,615,399 has digital root 4. The neighboring primes are 7615379 and 7615417; its proper-divisor sum differs from the starting integer by -6,923,078.

Prime Factor Structure

Factorization String 11 × 692309
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,307,720
Proper Divisor Sum 692,321
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7615379 ← → #7615417

Radix Representation

Decimal 7615399
Binary 11101000011001110100111 (23 bits)
Octal 0o35031647
Hexadecimal 0x7433A7

Divisor Catalog (4)

1 11 692,309 7,615,399

Collatz Trajectory (173 steps to reach 1)

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

7,615,399 22,846,198 11,423,099 34,269,298 17,134,649 51,403,948 25,701,974 12,850,987 38,552,962 19,276,481 57,829,444 28,914,722 14,457,361 43,372,084 21,686,042 10,843,021 32,529,064 16,264,532 8,132,266 4,066,133 12,198,400 6,099,200 3,049,600 1,524,800 762,400 381,200 190,600 95,300 47,650 23,825 71,476 35,738 17,869 53,608 26,804 13,402 6,701 20,104 10,052 5,026 2,513 7,540 3,770 1,885 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592 796 398 199 598 299 898 449 1,348

More profiles

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