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Atlas › Integer Profiles › Node 3,852,150

3,852,150

2 × 3 × 52 × 61 × 421
Abundant Even Composite

3,852,150 factors as 2 × 3 × 5^2 × 61 × 421. Its 48 positive divisors give a proper-divisor sum of 5,880,858, so this integer is abundant. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 61 × 421
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,733,008
Proper Divisor Sum 5,880,858
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3852143 ← → #3852151

Radix Representation

Decimal 3852150
Binary 1110101100011101110110 (22 bits)
Octal 0o16543566
Hexadecimal 0x3AC776

Divisor Catalog (48)

1 2 3 5 6 10 15 25 30 50 61 75 122 150 183 305 366 421 610 842 915 1,263 1,525 1,830 2,105 2,526 3,050 4,210 4,575 6,315 9,150 10,525 12,630 21,050 25,681 31,575 51,362 63,150 77,043 128,405 154,086 256,810 385,215 642,025 770,430 1,284,050 1,926,075 3,852,150

Collatz Trajectory (154 steps to reach 1)

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

3,852,150 1,926,075 5,778,226 2,889,113 8,667,340 4,333,670 2,166,835 6,500,506 3,250,253 9,750,760 4,875,380 2,437,690 1,218,845 3,656,536 1,828,268 914,134 457,067 1,371,202 685,601 2,056,804 1,028,402 514,201 1,542,604 771,302 385,651 1,156,954 578,477 1,735,432 867,716 433,858 216,929 650,788 325,394 162,697 488,092 244,046 122,023 366,070 183,035 549,106 274,553 823,660 411,830 205,915 617,746 308,873 926,620 463,310 231,655 694,966 347,483 1,042,450 521,225 1,563,676 781,838 390,919 1,172,758 586,379 1,759,138 879,569

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