5,731,125

3 × 5³ × 17 × 29 × 31

For 5,731,125, the 64 positive divisors have a total of 10,782,720. Removing 5,731,125 leaves 5,051,595, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 5^3 × 17 × 29 × 31

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 10,782,720

Proper Divisor Sum 5,051,595

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #5731123 ← → #5731139

Radix Representation

Decimal	5731125
Binary	10101110111001100110101 (23 bits)
Octal	0o25671465
Hexadecimal	0x577335

Divisor Catalog (60 of 64)

1 3 5 15 17 25 29 31 51 75 85 87 93 125 145 155 255 375 425 435 465 493 527 725 775 899 1,275 1,479 1,581 2,125 2,175 2,325 2,465 2,635 2,697 3,625 3,875 4,495 6,375 7,395 7,905 10,875 11,625 12,325 13,175 13,485 15,283 22,475 36,975 39,525 45,849 61,625 65,875 67,425 76,415 112,375 184,875 197,625 229,245 337,125

Collatz Trajectory (77 steps to reach 1)

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

5,731,125 17,193,376 8,596,688 4,298,344 2,149,172 1,074,586 537,293 1,611,880 805,940 402,970 201,485 604,456 302,228 151,114 75,557 226,672 113,336 56,668 28,334 14,167 42,502 21,251 63,754 31,877 95,632 47,816 23,908 11,954 5,977 17,932 8,966 4,483 13,450 6,725 20,176 10,088 5,044 2,522 1,261 3,784 1,892 946 473 1,420 710 355 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29

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