λ
Prime Ledger

2,527,376

24 × 137 × 1153
Deficient Even Composite

2,527,376 has the prime decomposition 2^4 × 137 × 1153. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 137 × 1153
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 4,936,812
Proper Divisor Sum 2,409,436
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2527297 ← → #2527381

Radix Representation

Decimal 2527376
Binary 1001101001000010010000 (22 bits)
Octal 0o11510220
Hexadecimal 0x269090

Divisor Catalog (20)

1 2 4 8 16 137 274 548 1,096 1,153 2,192 2,306 4,612 9,224 18,448 157,961 315,922 631,844 1,263,688 2,527,376

Collatz Trajectory (205 steps to reach 1)

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

2,527,376 1,263,688 631,844 315,922 157,961 473,884 236,942 118,471 355,414 177,707 533,122 266,561 799,684 399,842 199,921 599,764 299,882 149,941 449,824 224,912 112,456 56,228 28,114 14,057 42,172 21,086 10,543 31,630 15,815 47,446 23,723 71,170 35,585 106,756 53,378 26,689 80,068 40,034 20,017 60,052 30,026 15,013 45,040 22,520 11,260 5,630 2,815 8,446 4,223 12,670 6,335 19,006 9,503 28,510 14,255 42,766 21,383 64,150 32,075 96,226

More profiles

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