λ
Prime Ledger

2,177,478

2 × 32 × 137 × 883
Abundant Even Composite

2,177,478 has the prime decomposition 2 × 3^2 × 137 × 883. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 137 × 883
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,757,688
Proper Divisor Sum 2,580,210
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2177467 ← → #2177501

Radix Representation

Decimal 2177478
Binary 1000010011100111000110 (22 bits)
Octal 0o10234706
Hexadecimal 0x2139C6

Divisor Catalog (24)

1 2 3 6 9 18 137 274 411 822 883 1,233 1,766 2,466 2,649 5,298 7,947 15,894 120,971 241,942 362,913 725,826 1,088,739 2,177,478

Collatz Trajectory (91 steps to reach 1)

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

2,177,478 1,088,739 3,266,218 1,633,109 4,899,328 2,449,664 1,224,832 612,416 306,208 153,104 76,552 38,276 19,138 9,569 28,708 14,354 7,177 21,532 10,766 5,383 16,150 8,075 24,226 12,113 36,340 18,170 9,085 27,256 13,628 6,814 3,407 10,222 5,111 15,334 7,667 23,002 11,501 34,504 17,252 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308

More profiles

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