4,146,480

2⁴ × 3² × 5 × 13 × 443

4,146,480 has digital root 9. The neighboring primes are 4146451 and 4146497; its proper-divisor sum differs from the starting integer by 6,737,328.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5 × 13 × 443

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 15,030,288

Proper Divisor Sum 10,883,808

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4146451 ← → #4146497

Radix Representation

Decimal	4146480
Binary	1111110100010100110000 (22 bits)
Octal	0o17642460
Hexadecimal	0x3F4530

Divisor Catalog (60 of 120)

1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 443 468 520 585 624 720 780 886 936 1,040 1,170 1,329 1,560 1,772 1,872

Collatz Trajectory (198 steps to reach 1)

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

4,146,480 2,073,240 1,036,620 518,310 259,155 777,466 388,733 1,166,200 583,100 291,550 145,775 437,326 218,663 655,990 327,995 983,986 491,993 1,475,980 737,990 368,995 1,106,986 553,493 1,660,480 830,240 415,120 207,560 103,780 51,890 25,945 77,836 38,918 19,459 58,378 29,189 87,568 43,784 21,892 10,946 5,473 16,420 8,210 4,105 12,316 6,158 3,079 9,238 4,619 13,858 6,929 20,788 10,394 5,197 15,592 7,796 3,898 1,949 5,848 2,924 1,462 731

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