7,204,076

2² × 11 × 163729

7,204,076 factors as 2^2 × 11 × 163729. Its 12 positive divisors give a proper-divisor sum of 6,549,244, so this integer is deficient. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 163729

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,753,320

Proper Divisor Sum 6,549,244

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #7204061 ← → #7204079

Radix Representation

Decimal	7204076
Binary	11011011110110011101100 (23 bits)
Octal	0o33366354
Hexadecimal	0x6DECEC

Divisor Catalog (12)

1 2 4 11 22 44 163,729 327,458 654,916 1,801,019 3,602,038 7,204,076

Collatz Trajectory (235 steps to reach 1)

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

7,204,076 3,602,038 1,801,019 5,403,058 2,701,529 8,104,588 4,052,294 2,026,147 6,078,442 3,039,221 9,117,664 4,558,832 2,279,416 1,139,708 569,854 284,927 854,782 427,391 1,282,174 641,087 1,923,262 961,631 2,884,894 1,442,447 4,327,342 2,163,671 6,491,014 3,245,507 9,736,522 4,868,261 14,604,784 7,302,392 3,651,196 1,825,598 912,799 2,738,398 1,369,199 4,107,598 2,053,799 6,161,398 3,080,699 9,242,098 4,621,049 13,863,148 6,931,574 3,465,787 10,397,362 5,198,681 15,596,044 7,798,022 3,899,011 11,697,034 5,848,517 17,545,552 8,772,776 4,386,388 2,193,194 1,096,597 3,289,792 1,644,896

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