7,802,221

7³ × 23² × 43

7,802,221 factors as 7^3 × 23^2 × 43. Its 24 positive divisors give a proper-divisor sum of 1,930,579, so this integer is deficient. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 7^3 × 23^2 × 43

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,732,800

Proper Divisor Sum 1,930,579

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #7802213 ← → #7802231

Radix Representation

Decimal	7802221
Binary	11101110000110101101101 (23 bits)
Octal	0o35606555
Hexadecimal	0x770D6D

Divisor Catalog (24)

Collatz Trajectory (155 steps to reach 1)

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

7,802,221 23,406,664 11,703,332 5,851,666 2,925,833 8,777,500 4,388,750 2,194,375 6,583,126 3,291,563 9,874,690 4,937,345 14,812,036 7,406,018 3,703,009 11,109,028 5,554,514 2,777,257 8,331,772 4,165,886 2,082,943 6,248,830 3,124,415 9,373,246 4,686,623 14,059,870 7,029,935 21,089,806 10,544,903 31,634,710 15,817,355 47,452,066 23,726,033 71,178,100 35,589,050 17,794,525 53,383,576 26,691,788 13,345,894 6,672,947 20,018,842 10,009,421 30,028,264 15,014,132 7,507,066 3,753,533 11,260,600 5,630,300 2,815,150 1,407,575 4,222,726 2,111,363 6,334,090 3,167,045 9,501,136 4,750,568 2,375,284 1,187,642 593,821 1,781,464

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