λ
Harmonic Matrix

4,946,177

4946177
Deficient Odd Prime

4,946,177 has digital root 2. The neighboring primes are 4946131 and 4946189; its proper-divisor sum differs from the starting integer by -4,946,176.

Prime Factor Structure

Factorization String 4946177
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,946,178
Proper Divisor Sum 1
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #4946131 ← → #4946189

Radix Representation

Decimal 4946177
Binary 10010110111100100000001 (23 bits)
Octal 0o22674401
Hexadecimal 0x4B7901

Divisor Catalog (2)

1 4,946,177

Collatz Trajectory (206 steps to reach 1)

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

4,946,177 14,838,532 7,419,266 3,709,633 11,128,900 5,564,450 2,782,225 8,346,676 4,173,338 2,086,669 6,260,008 3,130,004 1,565,002 782,501 2,347,504 1,173,752 586,876 293,438 146,719 440,158 220,079 660,238 330,119 990,358 495,179 1,485,538 742,769 2,228,308 1,114,154 557,077 1,671,232 835,616 417,808 208,904 104,452 52,226 26,113 78,340 39,170 19,585 58,756 29,378 14,689 44,068 22,034 11,017 33,052 16,526 8,263 24,790 12,395 37,186 18,593 55,780 27,890 13,945 41,836 20,918 10,459 31,378

More profiles

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