1,628,895

3 × 5 × 31² × 113

1,628,895 factors as 3 × 5 × 31^2 × 113. Its 24 positive divisors give a proper-divisor sum of 1,087,953, so this integer is deficient. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 3 × 5 × 31^2 × 113

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,716,848

Proper Divisor Sum 1,087,953

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #1628881 ← → #1628897

Radix Representation

Decimal	1628895
Binary	110001101101011011111 (21 bits)
Octal	0o6155337
Hexadecimal	0x18DADF

Divisor Catalog (24)

Collatz Trajectory (194 steps to reach 1)

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

1,628,895 4,886,686 2,443,343 7,330,030 3,665,015 10,995,046 5,497,523 16,492,570 8,246,285 24,738,856 12,369,428 6,184,714 3,092,357 9,277,072 4,638,536 2,319,268 1,159,634 579,817 1,739,452 869,726 434,863 1,304,590 652,295 1,956,886 978,443 2,935,330 1,467,665 4,402,996 2,201,498 1,100,749 3,302,248 1,651,124 825,562 412,781 1,238,344 619,172 309,586 154,793 464,380 232,190 116,095 348,286 174,143 522,430 261,215 783,646 391,823 1,175,470 587,735 1,763,206 881,603 2,644,810 1,322,405 3,967,216 1,983,608 991,804 495,902 247,951 743,854 371,927

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