4,009,257

3⁵ × 7 × 2357

4,009,257 has the prime decomposition 3^5 × 7 × 2357. Its 3 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3^5 × 7 × 2357

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,866,496

Proper Divisor Sum 2,857,239

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4009249 ← → #4009307

Radix Representation

Decimal	4009257
Binary	1111010010110100101001 (22 bits)
Octal	0o17226451
Hexadecimal	0x3D2D29

Divisor Catalog (24)

1 3 7 9 21 27 63 81 189 243 567 1,701 2,357 7,071 16,499 21,213 49,497 63,639 148,491 190,917 445,473 572,751 1,336,419 4,009,257

Collatz Trajectory (229 steps to reach 1)

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

4,009,257 12,027,772 6,013,886 3,006,943 9,020,830 4,510,415 13,531,246 6,765,623 20,296,870 10,148,435 30,445,306 15,222,653 45,667,960 22,833,980 11,416,990 5,708,495 17,125,486 8,562,743 25,688,230 12,844,115 38,532,346 19,266,173 57,798,520 28,899,260 14,449,630 7,224,815 21,674,446 10,837,223 32,511,670 16,255,835 48,767,506 24,383,753 73,151,260 36,575,630 18,287,815 54,863,446 27,431,723 82,295,170 41,147,585 123,442,756 61,721,378 30,860,689 92,582,068 46,291,034 23,145,517 69,436,552 34,718,276 17,359,138 8,679,569 26,038,708 13,019,354 6,509,677 19,529,032 9,764,516 4,882,258 2,441,129 7,323,388 3,661,694 1,830,847 5,492,542

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