4,515,315

3 × 5 × 7 × 43003

4,515,315 factors as 3 × 5 × 7 × 43003. Its 16 positive divisors give a proper-divisor sum of 3,741,453, so this integer is deficient. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 43003

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 8,256,768

Proper Divisor Sum 3,741,453

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #4515311 ← → #4515317

Radix Representation

Decimal	4515315
Binary	10001001110010111110011 (23 bits)
Octal	0o21162763
Hexadecimal	0x44E5F3

Divisor Catalog (16)

1 3 5 7 15 21 35 105 43,003 129,009 215,015 301,021 645,045 903,063 1,505,105 4,515,315

Collatz Trajectory (162 steps to reach 1)

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

4,515,315 13,545,946 6,772,973 20,318,920 10,159,460 5,079,730 2,539,865 7,619,596 3,809,798 1,904,899 5,714,698 2,857,349 8,572,048 4,286,024 2,143,012 1,071,506 535,753 1,607,260 803,630 401,815 1,205,446 602,723 1,808,170 904,085 2,712,256 1,356,128 678,064 339,032 169,516 84,758 42,379 127,138 63,569 190,708 95,354 47,677 143,032 71,516 35,758 17,879 53,638 26,819 80,458 40,229 120,688 60,344 30,172 15,086 7,543 22,630 11,315 33,946 16,973 50,920 25,460 12,730 6,365 19,096 9,548 4,774

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