λ
Prime Ledger

8,772,004

22 × 773 × 2837
Deficient Even Composite

8,772,004 has the prime decomposition 2^2 × 773 × 2837. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 773 × 2837
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 15,376,284
Proper Divisor Sum 6,604,280
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8771981 ← → #8772011

Radix Representation

Decimal 8772004
Binary 100001011101100110100100 (24 bits)
Octal 0o41354644
Hexadecimal 0x85D9A4

Divisor Catalog (12)

1 2 4 773 1,546 2,837 3,092 5,674 11,348 2,193,001 4,386,002 8,772,004

Collatz Trajectory (225 steps to reach 1)

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

8,772,004 4,386,002 2,193,001 6,579,004 3,289,502 1,644,751 4,934,254 2,467,127 7,401,382 3,700,691 11,102,074 5,551,037 16,653,112 8,326,556 4,163,278 2,081,639 6,244,918 3,122,459 9,367,378 4,683,689 14,051,068 7,025,534 3,512,767 10,538,302 5,269,151 15,807,454 7,903,727 23,711,182 11,855,591 35,566,774 17,783,387 53,350,162 26,675,081 80,025,244 40,012,622 20,006,311 60,018,934 30,009,467 90,028,402 45,014,201 135,042,604 67,521,302 33,760,651 101,281,954 50,640,977 151,922,932 75,961,466 37,980,733 113,942,200 56,971,100 28,485,550 14,242,775 42,728,326 21,364,163 64,092,490 32,046,245 96,138,736 48,069,368 24,034,684 12,017,342

More profiles

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