4,948,515

3² × 5 × 11 × 13 × 769

4,948,515 is odd and not a perfect square. Its factorization is 3^2 × 5 × 11 × 13 × 769 and its 48 divisors sum to 10,090,080.

Prime Factor Structure

Factorization String 3^2 × 5 × 11 × 13 × 769

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 10,090,080

Proper Divisor Sum 5,141,565

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4948501 ← → #4948523

Radix Representation

Decimal	4948515
Binary	10010111000001000100011 (23 bits)
Octal	0o22701043
Hexadecimal	0x4B8223

Divisor Catalog (48)

1 3 5 9 11 13 15 33 39 45 55 65 99 117 143 165 195 429 495 585 715 769 1,287 2,145 2,307 3,845 6,435 6,921 8,459 9,997 11,535 25,377 29,991 34,605 42,295 49,985 76,131 89,973 109,967 126,885 149,955 329,901 380,655 449,865 549,835 989,703 1,649,505 4,948,515

Collatz Trajectory (175 steps to reach 1)

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

4,948,515 14,845,546 7,422,773 22,268,320 11,134,160 5,567,080 2,783,540 1,391,770 695,885 2,087,656 1,043,828 521,914 260,957 782,872 391,436 195,718 97,859 293,578 146,789 440,368 220,184 110,092 55,046 27,523 82,570 41,285 123,856 61,928 30,964 15,482 7,741 23,224 11,612 5,806 2,903 8,710 4,355 13,066 6,533 19,600 9,800 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146

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