λ
Harmonic Matrix

9,025,777

9025777
Deficient Odd Prime

9,025,777 has digital root 1. The neighboring primes are 9025727 and 9025789; its proper-divisor sum differs from the starting integer by -9,025,776.

Prime Factor Structure

Factorization String 9025777
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 9,025,778
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9025727 ← → #9025789

Radix Representation

Decimal 9025777
Binary 100010011011100011110001 (24 bits)
Octal 0o42334361
Hexadecimal 0x89B8F1

Divisor Catalog (2)

Collatz Trajectory (62 steps to reach 1)

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

9,025,777 27,077,332 13,538,666 6,769,333 20,308,000 10,154,000 5,077,000 2,538,500 1,269,250 634,625 1,903,876 951,938 475,969 1,427,908 713,954 356,977 1,070,932 535,466 267,733 803,200 401,600 200,800 100,400 50,200 25,100 12,550 6,275 18,826 9,413 28,240 14,120 7,060 3,530 1,765 5,296 2,648 1,324 662 331 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8

More profiles

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