1,688,612

2² × 29 × 14557

1,688,612 factors as 2^2 × 29 × 14557. Its 12 positive divisors give a proper-divisor sum of 1,368,568, so this integer is deficient. The Collatz stopping time is 158 steps.

Prime Factor Structure

Factorization String 2^2 × 29 × 14557

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,057,180

Proper Divisor Sum 1,368,568

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #1688579 ← → #1688623

Radix Representation

Decimal	1688612
Binary	110011100010000100100 (21 bits)
Octal	0o6342044
Hexadecimal	0x19C424

Divisor Catalog (12)

1 2 4 29 58 116 14,557 29,114 58,228 422,153 844,306 1,688,612

Collatz Trajectory (158 steps to reach 1)

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

1,688,612 844,306 422,153 1,266,460 633,230 316,615 949,846 474,923 1,424,770 712,385 2,137,156 1,068,578 534,289 1,602,868 801,434 400,717 1,202,152 601,076 300,538 150,269 450,808 225,404 112,702 56,351 169,054 84,527 253,582 126,791 380,374 190,187 570,562 285,281 855,844 427,922 213,961 641,884 320,942 160,471 481,414 240,707 722,122 361,061 1,083,184 541,592 270,796 135,398 67,699 203,098 101,549 304,648 152,324 76,162 38,081 114,244 57,122 28,561 85,684 42,842 21,421 64,264

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