501,801

3 × 167267

501,801 has digital root 6. The neighboring primes are 501779 and 501803; its proper-divisor sum differs from the starting integer by -334,530.

Prime Factor Structure

Factorization String 3 × 167267

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 669,072

Proper Divisor Sum 167,271

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #501779 ← → #501803

Radix Representation

Decimal	501801
Binary	1111010100000101001 (19 bits)
Octal	0o1724051
Hexadecimal	0x7A829

Divisor Catalog (4)

1 3 167,267 501,801

Collatz Trajectory (213 steps to reach 1)

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

501,801 1,505,404 752,702 376,351 1,129,054 564,527 1,693,582 846,791 2,540,374 1,270,187 3,810,562 1,905,281 5,715,844 2,857,922 1,428,961 4,286,884 2,143,442 1,071,721 3,215,164 1,607,582 803,791 2,411,374 1,205,687 3,617,062 1,808,531 5,425,594 2,712,797 8,138,392 4,069,196 2,034,598 1,017,299 3,051,898 1,525,949 4,577,848 2,288,924 1,144,462 572,231 1,716,694 858,347 2,575,042 1,287,521 3,862,564 1,931,282 965,641 2,896,924 1,448,462 724,231 2,172,694 1,086,347 3,259,042 1,629,521 4,888,564 2,444,282 1,222,141 3,666,424 1,833,212 916,606 458,303 1,374,910 687,455

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