λ
Ratio Atlas

5,017,531

463 × 10837
Deficient Odd Composite

5,017,531 factors as 463 × 10837. Its 4 positive divisors give a proper-divisor sum of 11,301, so this integer is deficient. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 463 × 10837
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,028,832
Proper Divisor Sum 11,301
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #5017513 ← → #5017559

Radix Representation

Decimal 5017531
Binary 10011001000111110111011 (23 bits)
Octal 0o23107673
Hexadecimal 0x4C8FBB

Divisor Catalog (4)

1 463 10,837 5,017,531

Collatz Trajectory (175 steps to reach 1)

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

5,017,531 15,052,594 7,526,297 22,578,892 11,289,446 5,644,723 16,934,170 8,467,085 25,401,256 12,700,628 6,350,314 3,175,157 9,525,472 4,762,736 2,381,368 1,190,684 595,342 297,671 893,014 446,507 1,339,522 669,761 2,009,284 1,004,642 502,321 1,506,964 753,482 376,741 1,130,224 565,112 282,556 141,278 70,639 211,918 105,959 317,878 158,939 476,818 238,409 715,228 357,614 178,807 536,422 268,211 804,634 402,317 1,206,952 603,476 301,738 150,869 452,608 226,304 113,152 56,576 28,288 14,144 7,072 3,536 1,768 884

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