λ
Harmonic Matrix

7,748,479

7748479
Deficient Odd Prime

7,748,479 has digital root 1. The neighboring primes are 7748459 and 7748509; its proper-divisor sum differs from the starting integer by -7,748,478.

Prime Factor Structure

Factorization String 7748479
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,748,480
Proper Divisor Sum 1
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #7748459 ← → #7748509

Radix Representation

Decimal 7748479
Binary 11101100011101101111111 (23 bits)
Octal 0o35435577
Hexadecimal 0x763B7F

Divisor Catalog (2)

Collatz Trajectory (217 steps to reach 1)

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

7,748,479 23,245,438 11,622,719 34,868,158 17,434,079 52,302,238 26,151,119 78,453,358 39,226,679 117,680,038 58,840,019 176,520,058 88,260,029 264,780,088 132,390,044 66,195,022 33,097,511 99,292,534 49,646,267 148,938,802 74,469,401 223,408,204 111,704,102 55,852,051 167,556,154 83,778,077 251,334,232 125,667,116 62,833,558 31,416,779 94,250,338 47,125,169 141,375,508 70,687,754 35,343,877 106,031,632 53,015,816 26,507,908 13,253,954 6,626,977 19,880,932 9,940,466 4,970,233 14,910,700 7,455,350 3,727,675 11,183,026 5,591,513 16,774,540 8,387,270 4,193,635 12,580,906 6,290,453 18,871,360 9,435,680 4,717,840 2,358,920 1,179,460 589,730 294,865

More profiles

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