3,702,587

7² × 19 × 41 × 97

3,702,587 factors as 7^2 × 19 × 41 × 97. Its 24 positive divisors give a proper-divisor sum of 989,653, so this integer is deficient. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 7^2 × 19 × 41 × 97

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,692,240

Proper Divisor Sum 989,653

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #3702581 ← → #3702593

Radix Representation

Decimal	3702587
Binary	1110000111111100111011 (22 bits)
Octal	0o16077473
Hexadecimal	0x387F3B

Divisor Catalog (24)

1 7 19 41 49 97 133 287 679 779 931 1,843 2,009 3,977 4,753 5,453 12,901 27,839 38,171 75,563 90,307 194,873 528,941 3,702,587

Collatz Trajectory (141 steps to reach 1)

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

3,702,587 11,107,762 5,553,881 16,661,644 8,330,822 4,165,411 12,496,234 6,248,117 18,744,352 9,372,176 4,686,088 2,343,044 1,171,522 585,761 1,757,284 878,642 439,321 1,317,964 658,982 329,491 988,474 494,237 1,482,712 741,356 370,678 185,339 556,018 278,009 834,028 417,014 208,507 625,522 312,761 938,284 469,142 234,571 703,714 351,857 1,055,572 527,786 263,893 791,680 395,840 197,920 98,960 49,480 24,740 12,370 6,185 18,556 9,278 4,639 13,918 6,959 20,878 10,439 31,318 15,659 46,978 23,489

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