3,737,583

3⁷ × 1709

3,737,583 has digital root 9. The neighboring primes are 3737579 and 3737593; its proper-divisor sum differs from the starting integer by -1,866,366.

Prime Factor Structure

Factorization String 3^7 × 1709

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,608,800

Proper Divisor Sum 1,871,217

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3737579 ← → #3737593

Radix Representation

Decimal	3737583
Binary	1110010000011111101111 (22 bits)
Octal	0o16203757
Hexadecimal	0x3907EF

Divisor Catalog (16)

1 3 9 27 81 243 729 1,709 2,187 5,127 15,381 46,143 138,429 415,287 1,245,861 3,737,583

Collatz Trajectory (159 steps to reach 1)

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

3,737,583 11,212,750 5,606,375 16,819,126 8,409,563 25,228,690 12,614,345 37,843,036 18,921,518 9,460,759 28,382,278 14,191,139 42,573,418 21,286,709 63,860,128 31,930,064 15,965,032 7,982,516 3,991,258 1,995,629 5,986,888 2,993,444 1,496,722 748,361 2,245,084 1,122,542 561,271 1,683,814 841,907 2,525,722 1,262,861 3,788,584 1,894,292 947,146 473,573 1,420,720 710,360 355,180 177,590 88,795 266,386 133,193 399,580 199,790 99,895 299,686 149,843 449,530 224,765 674,296 337,148 168,574 84,287 252,862 126,431 379,294 189,647 568,942 284,471 853,414

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