3,701,124

2² × 3² × 7 × 19 × 773

3,701,124 has the prime decomposition 2^2 × 3^2 × 7 × 19 × 773. Its 5 distinct prime factors produce 72 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 19 × 773

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 11,269,440

Proper Divisor Sum 7,568,316

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #3701123 ← → #3701141

Radix Representation

Decimal	3701124
Binary	1110000111100110000100 (22 bits)
Octal	0o16074604
Hexadecimal	0x387984

Divisor Catalog (60 of 72)

1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 684 773 798 1,197 1,546 1,596 2,319 2,394 3,092 4,638 4,788 5,411 6,957 9,276 10,822 13,914 14,687 16,233 21,644 27,828 29,374 32,466 44,061 48,699 58,748 64,932 88,122 97,398 102,809 132,183

Collatz Trajectory (79 steps to reach 1)

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

3,701,124 1,850,562 925,281 2,775,844 1,387,922 693,961 2,081,884 1,040,942 520,471 1,561,414 780,707 2,342,122 1,171,061 3,513,184 1,756,592 878,296 439,148 219,574 109,787 329,362 164,681 494,044 247,022 123,511 370,534 185,267 555,802 277,901 833,704 416,852 208,426 104,213 312,640 156,320 78,160 39,080 19,540 9,770 4,885 14,656 7,328 3,664 1,832 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112

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