1,736,465

5 × 17 × 31 × 659

1,736,465 factors as 5 × 17 × 31 × 659. Its 16 positive divisors give a proper-divisor sum of 544,495, so this integer is deficient. The Collatz stopping time is 127 steps.

Prime Factor Structure

Factorization String 5 × 17 × 31 × 659

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,280,960

Proper Divisor Sum 544,495

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #1736461 ← → #1736519

Radix Representation

Decimal	1736465
Binary	110100111111100010001 (21 bits)
Octal	0o6477421
Hexadecimal	0x1A7F11

Divisor Catalog (16)

1 5 17 31 85 155 527 659 2,635 3,295 11,203 20,429 56,015 102,145 347,293 1,736,465

Collatz Trajectory (127 steps to reach 1)

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

1,736,465 5,209,396 2,604,698 1,302,349 3,907,048 1,953,524 976,762 488,381 1,465,144 732,572 366,286 183,143 549,430 274,715 824,146 412,073 1,236,220 618,110 309,055 927,166 463,583 1,390,750 695,375 2,086,126 1,043,063 3,129,190 1,564,595 4,693,786 2,346,893 7,040,680 3,520,340 1,760,170 880,085 2,640,256 1,320,128 660,064 330,032 165,016 82,508 41,254 20,627 61,882 30,941 92,824 46,412 23,206 11,603 34,810 17,405 52,216 26,108 13,054 6,527 19,582 9,791 29,374 14,687 44,062 22,031 66,094

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