λ
Ratio Atlas

7,523,741

17 × 442573
Deficient Odd Composite

7,523,741 factors as 17 × 442573. Its 4 positive divisors give a proper-divisor sum of 442,591, so this integer is deficient. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 17 × 442573
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,966,332
Proper Divisor Sum 442,591
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7523729 ← → #7523767

Radix Representation

Decimal 7523741
Binary 11100101100110110011101 (23 bits)
Octal 0o34546635
Hexadecimal 0x72CD9D

Divisor Catalog (4)

1 17 442,573 7,523,741

Collatz Trajectory (134 steps to reach 1)

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

7,523,741 22,571,224 11,285,612 5,642,806 2,821,403 8,464,210 4,232,105 12,696,316 6,348,158 3,174,079 9,522,238 4,761,119 14,283,358 7,141,679 21,425,038 10,712,519 32,137,558 16,068,779 48,206,338 24,103,169 72,309,508 36,154,754 18,077,377 54,232,132 27,116,066 13,558,033 40,674,100 20,337,050 10,168,525 30,505,576 15,252,788 7,626,394 3,813,197 11,439,592 5,719,796 2,859,898 1,429,949 4,289,848 2,144,924 1,072,462 536,231 1,608,694 804,347 2,413,042 1,206,521 3,619,564 1,809,782 904,891 2,714,674 1,357,337 4,072,012 2,036,006 1,018,003 3,054,010 1,527,005 4,581,016 2,290,508 1,145,254 572,627 1,717,882

More profiles

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