λ
Prime Ledger

1,274,500

22 × 53 × 2549
Abundant Even Composite

1,274,500 has the prime decomposition 2^2 × 5^3 × 2549. Its 3 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5^3 × 2549
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,784,600
Proper Divisor Sum 1,510,100
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #1274461 ← → #1274509

Radix Representation

Decimal 1274500
Binary 100110111001010000100 (21 bits)
Octal 0o4671204
Hexadecimal 0x137284

Divisor Catalog (24)

1 2 4 5 10 20 25 50 100 125 250 500 2,549 5,098 10,196 12,745 25,490 50,980 63,725 127,450 254,900 318,625 637,250 1,274,500

Collatz Trajectory (173 steps to reach 1)

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

1,274,500 637,250 318,625 955,876 477,938 238,969 716,908 358,454 179,227 537,682 268,841 806,524 403,262 201,631 604,894 302,447 907,342 453,671 1,361,014 680,507 2,041,522 1,020,761 3,062,284 1,531,142 765,571 2,296,714 1,148,357 3,445,072 1,722,536 861,268 430,634 215,317 645,952 322,976 161,488 80,744 40,372 20,186 10,093 30,280 15,140 7,570 3,785 11,356 5,678 2,839 8,518 4,259 12,778 6,389 19,168 9,584 4,792 2,396 1,198 599 1,798 899 2,698 1,349

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