4,202,016

2⁵ × 3 × 7 × 13² × 37

Prime Factor Structure

Factorization String 2^5 × 3 × 7 × 13^2 × 37

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 14,019,264

Proper Divisor Sum 9,817,248

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #4201969 ← → #4202017

Radix Representation

Decimal	4202016
Binary	10000000001111000100000 (23 bits)
Octal	0o20017040
Hexadecimal	0x401E20

Divisor Catalog (60 of 144)

1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 37 39 42 48 52 56 74 78 84 91 96 104 111 112 148 156 168 169 182 208 222 224 259 273 296 312 336 338 364 416 444 481 507 518 546 592 624 672 676 728 777 888 962 1,014

Collatz Trajectory (167 steps to reach 1)

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

4,202,016 2,101,008 1,050,504 525,252 262,626 131,313 393,940 196,970 98,485 295,456 147,728 73,864 36,932 18,466 9,233 27,700 13,850 6,925 20,776 10,388 5,194 2,597 7,792 3,896 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124

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