λ
Prime Ledger

2,267,377

72 × 46273
Deficient Odd Composite

2,267,377 has the prime decomposition 7^2 × 46273. Its 2 distinct prime factors produce 6 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 46273
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 2,637,618
Proper Divisor Sum 370,241
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #2267303 ← → #2267381

Radix Representation

Decimal 2267377
Binary 1000101001100011110001 (22 bits)
Octal 0o10514361
Hexadecimal 0x2298F1

Divisor Catalog (6)

1 7 49 46,273 323,911 2,267,377

Collatz Trajectory (86 steps to reach 1)

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

2,267,377 6,802,132 3,401,066 1,700,533 5,101,600 2,550,800 1,275,400 637,700 318,850 159,425 478,276 239,138 119,569 358,708 179,354 89,677 269,032 134,516 67,258 33,629 100,888 50,444 25,222 12,611 37,834 18,917 56,752 28,376 14,188 7,094 3,547 10,642 5,321 15,964 7,982 3,991 11,974 5,987 17,962 8,981 26,944 13,472 6,736 3,368 1,684 842 421 1,264 632 316 158 79 238 119 358 179 538 269 808 404

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