λ
Prime Ledger

7,722,421

7 × 1103203
Deficient Odd Composite

7,722,421 has the prime decomposition 7 × 1103203. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 7 × 1103203
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,825,632
Proper Divisor Sum 1,103,211
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7722419 ← → #7722431

Radix Representation

Decimal 7722421
Binary 11101011101010110110101 (23 bits)
Octal 0o35352665
Hexadecimal 0x75D5B5

Divisor Catalog (4)

1 7 1,103,203 7,722,421

Collatz Trajectory (279 steps to reach 1)

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

7,722,421 23,167,264 11,583,632 5,791,816 2,895,908 1,447,954 723,977 2,171,932 1,085,966 542,983 1,628,950 814,475 2,443,426 1,221,713 3,665,140 1,832,570 916,285 2,748,856 1,374,428 687,214 343,607 1,030,822 515,411 1,546,234 773,117 2,319,352 1,159,676 579,838 289,919 869,758 434,879 1,304,638 652,319 1,956,958 978,479 2,935,438 1,467,719 4,403,158 2,201,579 6,604,738 3,302,369 9,907,108 4,953,554 2,476,777 7,430,332 3,715,166 1,857,583 5,572,750 2,786,375 8,359,126 4,179,563 12,538,690 6,269,345 18,808,036 9,404,018 4,702,009 14,106,028 7,053,014 3,526,507 10,579,522

More profiles

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