7,645,210

2 × 5 × 764521

7,645,210 factors as 2 × 5 × 764521. Its 8 positive divisors give a proper-divisor sum of 6,116,186, so this integer is deficient. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 2 × 5 × 764521

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 13,761,396

Proper Divisor Sum 6,116,186

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #7645171 ← → #7645219

Radix Representation

Decimal	7645210
Binary	11101001010100000011010 (23 bits)
Octal	0o35124032
Hexadecimal	0x74A81A

Divisor Catalog (8)

1 2 5 10 764,521 1,529,042 3,822,605 7,645,210

Collatz Trajectory (80 steps to reach 1)

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

7,645,210 3,822,605 11,467,816 5,733,908 2,866,954 1,433,477 4,300,432 2,150,216 1,075,108 537,554 268,777 806,332 403,166 201,583 604,750 302,375 907,126 453,563 1,360,690 680,345 2,041,036 1,020,518 510,259 1,530,778 765,389 2,296,168 1,148,084 574,042 287,021 861,064 430,532 215,266 107,633 322,900 161,450 80,725 242,176 121,088 60,544 30,272 15,136 7,568 3,784 1,892 946 473 1,420 710 355 1,066 533 1,600 800 400 200 100 50 25 76 38

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