λ
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274,480

24 × 5 × 47 × 73
Abundant Even Composite

274,480 factors as 2^4 × 5 × 47 × 73. Its 40 positive divisors give a proper-divisor sum of 386,192, so this integer is abundant. The Collatz stopping time is 70 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 47 × 73
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 660,672
Proper Divisor Sum 386,192
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #274471 ← → #274489

Radix Representation

Decimal 274480
Binary 1000011000000110000 (19 bits)
Octal 0o1030060
Hexadecimal 0x43030

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 47 73 80 94 146 188 235 292 365 376 470 584 730 752 940 1,168 1,460 1,880 2,920 3,431 3,760 5,840 6,862 13,724 17,155 27,448 34,310 54,896 68,620 137,240 274,480

Collatz Trajectory (70 steps to reach 1)

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

274,480 137,240 68,620 34,310 17,155 51,466 25,733 77,200 38,600 19,300 9,650 4,825 14,476 7,238 3,619 10,858 5,429 16,288 8,144 4,072 2,036 1,018 509 1,528 764 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52

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