502,015

5 × 100403

502,015 has digital root 4. The neighboring primes are 502013 and 502039; its proper-divisor sum differs from the starting integer by -401,606.

Prime Factor Structure

Factorization String 5 × 100403

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 602,424

Proper Divisor Sum 100,409

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #502013 ← → #502039

Radix Representation

Decimal	502015
Binary	1111010100011111111 (19 bits)
Octal	0o1724377
Hexadecimal	0x7A8FF

Divisor Catalog (4)

1 5 100,403 502,015

Collatz Trajectory (164 steps to reach 1)

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

502,015 1,506,046 753,023 2,259,070 1,129,535 3,388,606 1,694,303 5,082,910 2,541,455 7,624,366 3,812,183 11,436,550 5,718,275 17,154,826 8,577,413 25,732,240 12,866,120 6,433,060 3,216,530 1,608,265 4,824,796 2,412,398 1,206,199 3,618,598 1,809,299 5,427,898 2,713,949 8,141,848 4,070,924 2,035,462 1,017,731 3,053,194 1,526,597 4,579,792 2,289,896 1,144,948 572,474 286,237 858,712 429,356 214,678 107,339 322,018 161,009 483,028 241,514 120,757 362,272 181,136 90,568 45,284 22,642 11,321 33,964 16,982 8,491 25,474 12,737 38,212 19,106

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