λ
Modular Archive

3,508,960

25 × 5 × 7 × 13 × 241
Abundant Even Composite

The decimal integer 3,508,960 is 1101011000101011100000 in binary (22 bits), 15305340 in octal and 358AE0 in hexadecimal. Its digit sum is 31.

Prime Factor Structure

Factorization String 2^5 × 5 × 7 × 13 × 241
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 10,245,312
Proper Divisor Sum 6,736,352
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3508957 ← → #3508997

Radix Representation

Decimal 3508960
Binary 1101011000101011100000 (22 bits)
Octal 0o15305340
Hexadecimal 0x358AE0

Divisor Catalog (60 of 96)

1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 65 70 80 91 104 112 130 140 160 182 208 224 241 260 280 364 416 455 482 520 560 728 910 964 1,040 1,120 1,205 1,456 1,687 1,820 1,928 2,080 2,410 2,912 3,133 3,374 3,640 3,856 4,820 6,266 6,748 7,280

Collatz Trajectory (66 steps to reach 1)

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

3,508,960 1,754,480 877,240 438,620 219,310 109,655 328,966 164,483 493,450 246,725 740,176 370,088 185,044 92,522 46,261 138,784 69,392 34,696 17,348 8,674 4,337 13,012 6,506 3,253 9,760 4,880 2,440 1,220 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20

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