4,801,401

3² × 11² × 4409

4,801,401 has digital root 9. The neighboring primes are 4801393 and 4801409; its proper-divisor sum differs from the starting integer by -1,977,912.

Prime Factor Structure

Factorization String 3^2 × 11^2 × 4409

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 7,624,890

Proper Divisor Sum 2,823,489

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #4801393 ← → #4801409

Radix Representation

Decimal	4801401
Binary	10010010100001101111001 (23 bits)
Octal	0o22241571
Hexadecimal	0x494379

Divisor Catalog (18)

1 3 9 11 33 99 121 363 1,089 4,409 13,227 39,681 48,499 145,497 436,491 533,489 1,600,467 4,801,401

Collatz Trajectory (268 steps to reach 1)

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

4,801,401 14,404,204 7,202,102 3,601,051 10,803,154 5,401,577 16,204,732 8,102,366 4,051,183 12,153,550 6,076,775 18,230,326 9,115,163 27,345,490 13,672,745 41,018,236 20,509,118 10,254,559 30,763,678 15,381,839 46,145,518 23,072,759 69,218,278 34,609,139 103,827,418 51,913,709 155,741,128 77,870,564 38,935,282 19,467,641 58,402,924 29,201,462 14,600,731 43,802,194 21,901,097 65,703,292 32,851,646 16,425,823 49,277,470 24,638,735 73,916,206 36,958,103 110,874,310 55,437,155 166,311,466 83,155,733 249,467,200 124,733,600 62,366,800 31,183,400 15,591,700 7,795,850 3,897,925 11,693,776 5,846,888 2,923,444 1,461,722 730,861 2,192,584 1,096,292

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