λ
Sigma Notebook

7,916,490

2 × 32 × 5 × 87961
Abundant Even Composite

7,916,490 is even and not a perfect square. Its factorization is 2 × 3^2 × 5 × 87961 and its 24 divisors sum to 20,583,108.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 87961
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 20,583,108
Proper Divisor Sum 12,666,618
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7916473 ← → #7916533

Radix Representation

Decimal 7916490
Binary 11110001100101111001010 (23 bits)
Octal 0o36145712
Hexadecimal 0x78CBCA

Divisor Catalog (24)

1 2 3 5 6 9 10 15 18 30 45 90 87,961 175,922 263,883 439,805 527,766 791,649 879,610 1,319,415 1,583,298 2,638,830 3,958,245 7,916,490

Collatz Trajectory (93 steps to reach 1)

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

7,916,490 3,958,245 11,874,736 5,937,368 2,968,684 1,484,342 742,171 2,226,514 1,113,257 3,339,772 1,669,886 834,943 2,504,830 1,252,415 3,757,246 1,878,623 5,635,870 2,817,935 8,453,806 4,226,903 12,680,710 6,340,355 19,021,066 9,510,533 28,531,600 14,265,800 7,132,900 3,566,450 1,783,225 5,349,676 2,674,838 1,337,419 4,012,258 2,006,129 6,018,388 3,009,194 1,504,597 4,513,792 2,256,896 1,128,448 564,224 282,112 141,056 70,528 35,264 17,632 8,816 4,408 2,204 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397

More profiles

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