λ
Integer Codex

7,492,021

131 × 57191
Deficient Odd Composite

For 7,492,021, the 4 positive divisors have a total of 7,549,344. Removing 7,492,021 leaves 57,323, which gives the deficient classification.

Prime Factor Structure

Factorization String 131 × 57191
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,549,344
Proper Divisor Sum 57,323
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7491973 ← → #7492031

Radix Representation

Decimal 7492021
Binary 11100100101000110110101 (23 bits)
Octal 0o34450665
Hexadecimal 0x7251B5

Divisor Catalog (4)

1 131 57,191 7,492,021

Collatz Trajectory (173 steps to reach 1)

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

7,492,021 22,476,064 11,238,032 5,619,016 2,809,508 1,404,754 702,377 2,107,132 1,053,566 526,783 1,580,350 790,175 2,370,526 1,185,263 3,555,790 1,777,895 5,333,686 2,666,843 8,000,530 4,000,265 12,000,796 6,000,398 3,000,199 9,000,598 4,500,299 13,500,898 6,750,449 20,251,348 10,125,674 5,062,837 15,188,512 7,594,256 3,797,128 1,898,564 949,282 474,641 1,423,924 711,962 355,981 1,067,944 533,972 266,986 133,493 400,480 200,240 100,120 50,060 25,030 12,515 37,546 18,773 56,320 28,160 14,080 7,040 3,520 1,760 880 440 220

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