λ
Integer Codex

4,802,415

3 × 5 × 17 × 37 × 509
Deficient Odd Composite

For 4,802,415, the 32 positive divisors have a total of 8,372,160. Removing 4,802,415 leaves 3,569,745, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 5 × 17 × 37 × 509
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,372,160
Proper Divisor Sum 3,569,745
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4802411 ← → #4802443

Radix Representation

Decimal 4802415
Binary 10010010100011101101111 (23 bits)
Octal 0o22243557
Hexadecimal 0x49476F

Divisor Catalog (32)

1 3 5 15 17 37 51 85 111 185 255 509 555 629 1,527 1,887 2,545 3,145 7,635 8,653 9,435 18,833 25,959 43,265 56,499 94,165 129,795 282,495 320,161 960,483 1,600,805 4,802,415

Collatz Trajectory (118 steps to reach 1)

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

4,802,415 14,407,246 7,203,623 21,610,870 10,805,435 32,416,306 16,208,153 48,624,460 24,312,230 12,156,115 36,468,346 18,234,173 54,702,520 27,351,260 13,675,630 6,837,815 20,513,446 10,256,723 30,770,170 15,385,085 46,155,256 23,077,628 11,538,814 5,769,407 17,308,222 8,654,111 25,962,334 12,981,167 38,943,502 19,471,751 58,415,254 29,207,627 87,622,882 43,811,441 131,434,324 65,717,162 32,858,581 98,575,744 49,287,872 24,643,936 12,321,968 6,160,984 3,080,492 1,540,246 770,123 2,310,370 1,155,185 3,465,556 1,732,778 866,389 2,599,168 1,299,584 649,792 324,896 162,448 81,224 40,612 20,306 10,153 30,460

More profiles

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