3,829,000

2³ × 5³ × 7 × 547

3,829,000 has digital root 4. The neighboring primes are 3828973 and 3829079; its proper-divisor sum differs from the starting integer by 2,600,560.

Prime Factor Structure

Factorization String 2^3 × 5^3 × 7 × 547

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 10,258,560

Proper Divisor Sum 6,429,560

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #3828973 ← → #3829079

Radix Representation

Decimal	3829000
Binary	1110100110110100001000 (22 bits)
Octal	0o16466410
Hexadecimal	0x3A6D08

Divisor Catalog (60 of 64)

1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 547 700 875 1,000 1,094 1,400 1,750 2,188 2,735 3,500 3,829 4,376 5,470 7,000 7,658 10,940 13,675 15,316 19,145 21,880 27,350 30,632 38,290 54,700 68,375 76,580 95,725 109,400 136,750 153,160 191,450 273,500 382,900 478,625 547,000

Collatz Trajectory (216 steps to reach 1)

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

3,829,000 1,914,500 957,250 478,625 1,435,876 717,938 358,969 1,076,908 538,454 269,227 807,682 403,841 1,211,524 605,762 302,881 908,644 454,322 227,161 681,484 340,742 170,371 511,114 255,557 766,672 383,336 191,668 95,834 47,917 143,752 71,876 35,938 17,969 53,908 26,954 13,477 40,432 20,216 10,108 5,054 2,527 7,582 3,791 11,374 5,687 17,062 8,531 25,594 12,797 38,392 19,196 9,598 4,799 14,398 7,199 21,598 10,799 32,398 16,199 48,598 24,299

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