7,744,473

3² × 11 × 137 × 571

7,744,473 has the prime decomposition 3^2 × 11 × 137 × 571. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 11 × 137 × 571

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,314,016

Proper Divisor Sum 4,569,543

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7744459 ← → #7744487

Radix Representation

Decimal	7744473
Binary	11101100010101111011001 (23 bits)
Octal	0o35425731
Hexadecimal	0x762BD9

Divisor Catalog (24)

1 3 9 11 33 99 137 411 571 1,233 1,507 1,713 4,521 5,139 6,281 13,563 18,843 56,529 78,227 234,681 704,043 860,497 2,581,491 7,744,473

Collatz Trajectory (93 steps to reach 1)

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

7,744,473 23,233,420 11,616,710 5,808,355 17,425,066 8,712,533 26,137,600 13,068,800 6,534,400 3,267,200 1,633,600 816,800 408,400 204,200 102,100 51,050 25,525 76,576 38,288 19,144 9,572 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376

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