5,457,789

3² × 317 × 1913

5,457,789 factors as 3^2 × 317 × 1913. Its 12 positive divisors give a proper-divisor sum of 2,454,687, so this integer is deficient. The Collatz stopping time is 307 steps.

Prime Factor Structure

Factorization String 3^2 × 317 × 1913

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,912,476

Proper Divisor Sum 2,454,687

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #5457773 ← → #5457811

Radix Representation

Decimal	5457789
Binary	10100110100011101111101 (23 bits)
Octal	0o24643575
Hexadecimal	0x53477D

Divisor Catalog (12)

1 3 9 317 951 1,913 2,853 5,739 17,217 606,421 1,819,263 5,457,789

Collatz Trajectory (307 steps to reach 1)

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

5,457,789 16,373,368 8,186,684 4,093,342 2,046,671 6,140,014 3,070,007 9,210,022 4,605,011 13,815,034 6,907,517 20,722,552 10,361,276 5,180,638 2,590,319 7,770,958 3,885,479 11,656,438 5,828,219 17,484,658 8,742,329 26,226,988 13,113,494 6,556,747 19,670,242 9,835,121 29,505,364 14,752,682 7,376,341 22,129,024 11,064,512 5,532,256 2,766,128 1,383,064 691,532 345,766 172,883 518,650 259,325 777,976 388,988 194,494 97,247 291,742 145,871 437,614 218,807 656,422 328,211 984,634 492,317 1,476,952 738,476 369,238 184,619 553,858 276,929 830,788 415,394 207,697

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