λ
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7,490,286

2 × 33 × 59 × 2351
Abundant Even Composite

7,490,286 factors as 2 × 3^3 × 59 × 2351. Its 32 positive divisors give a proper-divisor sum of 9,444,114, so this integer is abundant. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 59 × 2351
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,934,400
Proper Divisor Sum 9,444,114
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7490257 ← → #7490297

Radix Representation

Decimal 7490286
Binary 11100100100101011101110 (23 bits)
Octal 0o34445356
Hexadecimal 0x724AEE

Divisor Catalog (32)

1 2 3 6 9 18 27 54 59 118 177 354 531 1,062 1,593 2,351 3,186 4,702 7,053 14,106 21,159 42,318 63,477 126,954 138,709 277,418 416,127 832,254 1,248,381 2,496,762 3,745,143 7,490,286

Collatz Trajectory (204 steps to reach 1)

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

7,490,286 3,745,143 11,235,430 5,617,715 16,853,146 8,426,573 25,279,720 12,639,860 6,319,930 3,159,965 9,479,896 4,739,948 2,369,974 1,184,987 3,554,962 1,777,481 5,332,444 2,666,222 1,333,111 3,999,334 1,999,667 5,999,002 2,999,501 8,998,504 4,499,252 2,249,626 1,124,813 3,374,440 1,687,220 843,610 421,805 1,265,416 632,708 316,354 158,177 474,532 237,266 118,633 355,900 177,950 88,975 266,926 133,463 400,390 200,195 600,586 300,293 900,880 450,440 225,220 112,610 56,305 168,916 84,458 42,229 126,688 63,344 31,672 15,836 7,918

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