λ
Ratio Atlas

7,508,454

2 × 3 × 1251409
Abundant Even Composite

7,508,454 factors as 2 × 3 × 1251409. Its 8 positive divisors give a proper-divisor sum of 7,508,466, so this integer is abundant. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2 × 3 × 1251409
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 15,016,920
Proper Divisor Sum 7,508,466
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7508443 ← → #7508467

Radix Representation

Decimal 7508454
Binary 11100101001000111100110 (23 bits)
Octal 0o34510746
Hexadecimal 0x7291E6

Divisor Catalog (8)

1 2 3 6 1,251,409 2,502,818 3,754,227 7,508,454

Collatz Trajectory (160 steps to reach 1)

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

7,508,454 3,754,227 11,262,682 5,631,341 16,894,024 8,447,012 4,223,506 2,111,753 6,335,260 3,167,630 1,583,815 4,751,446 2,375,723 7,127,170 3,563,585 10,690,756 5,345,378 2,672,689 8,018,068 4,009,034 2,004,517 6,013,552 3,006,776 1,503,388 751,694 375,847 1,127,542 563,771 1,691,314 845,657 2,536,972 1,268,486 634,243 1,902,730 951,365 2,854,096 1,427,048 713,524 356,762 178,381 535,144 267,572 133,786 66,893 200,680 100,340 50,170 25,085 75,256 37,628 18,814 9,407 28,222 14,111 42,334 21,167 63,502 31,751 95,254 47,627

More profiles

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