λ
Harmonic Matrix

8,247,439

617 × 13367
Deficient Odd Composite

8,247,439 has digital root 1. The neighboring primes are 8247427 and 8247451; its proper-divisor sum differs from the starting integer by -8,233,454.

Prime Factor Structure

Factorization String 617 × 13367
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,261,424
Proper Divisor Sum 13,985
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8247427 ← → #8247451

Radix Representation

Decimal 8247439
Binary 11111011101100010001111 (23 bits)
Octal 0o37354217
Hexadecimal 0x7DD88F

Divisor Catalog (4)

1 617 13,367 8,247,439

Collatz Trajectory (106 steps to reach 1)

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

8,247,439 24,742,318 12,371,159 37,113,478 18,556,739 55,670,218 27,835,109 83,505,328 41,752,664 20,876,332 10,438,166 5,219,083 15,657,250 7,828,625 23,485,876 11,742,938 5,871,469 17,614,408 8,807,204 4,403,602 2,201,801 6,605,404 3,302,702 1,651,351 4,954,054 2,477,027 7,431,082 3,715,541 11,146,624 5,573,312 2,786,656 1,393,328 696,664 348,332 174,166 87,083 261,250 130,625 391,876 195,938 97,969 293,908 146,954 73,477 220,432 110,216 55,108 27,554 13,777 41,332 20,666 10,333 31,000 15,500 7,750 3,875 11,626 5,813 17,440 8,720

More profiles

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