1,592,588

2² × 61² × 107

1,592,588 factors as 2^2 × 61^2 × 107. Its 18 positive divisors give a proper-divisor sum of 1,267,360, so this integer is deficient. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2^2 × 61^2 × 107

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 2,859,948

Proper Divisor Sum 1,267,360

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #1592581 ← → #1592609

Radix Representation

Decimal	1592588
Binary	110000100110100001100 (21 bits)
Octal	0o6046414
Hexadecimal	0x184D0C

Divisor Catalog (18)

1 2 4 61 107 122 214 244 428 3,721 6,527 7,442 13,054 14,884 26,108 398,147 796,294 1,592,588

Collatz Trajectory (101 steps to reach 1)

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

1,592,588 796,294 398,147 1,194,442 597,221 1,791,664 895,832 447,916 223,958 111,979 335,938 167,969 503,908 251,954 125,977 377,932 188,966 94,483 283,450 141,725 425,176 212,588 106,294 53,147 159,442 79,721 239,164 119,582 59,791 179,374 89,687 269,062 134,531 403,594 201,797 605,392 302,696 151,348 75,674 37,837 113,512 56,756 28,378 14,189 42,568 21,284 10,642 5,321 15,964 7,982 3,991 11,974 5,987 17,962 8,981 26,944 13,472 6,736 3,368 1,684

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