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Atlas › Integer Profiles › Node 3,656,120

3,656,120

23 × 5 × 13 × 79 × 89
Abundant Even Composite

3,656,120 factors as 2^3 × 5 × 13 × 79 × 89. Its 64 positive divisors give a proper-divisor sum of 5,415,880, so this integer is abundant. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 13 × 79 × 89
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 9,072,000
Proper Divisor Sum 5,415,880
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3656111 ← → #3656129

Radix Representation

Decimal 3656120
Binary 1101111100100110111000 (22 bits)
Octal 0o15744670
Hexadecimal 0x37C9B8

Divisor Catalog (60 of 64)

1 2 4 5 8 10 13 20 26 40 52 65 79 89 104 130 158 178 260 316 356 395 445 520 632 712 790 890 1,027 1,157 1,580 1,780 2,054 2,314 3,160 3,560 4,108 4,628 5,135 5,785 7,031 8,216 9,256 10,270 11,570 14,062 20,540 23,140 28,124 35,155 41,080 46,280 56,248 70,310 91,403 140,620 182,806 281,240 365,612 457,015

Collatz Trajectory (97 steps to reach 1)

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

3,656,120 1,828,060 914,030 457,015 1,371,046 685,523 2,056,570 1,028,285 3,084,856 1,542,428 771,214 385,607 1,156,822 578,411 1,735,234 867,617 2,602,852 1,301,426 650,713 1,952,140 976,070 488,035 1,464,106 732,053 2,196,160 1,098,080 549,040 274,520 137,260 68,630 34,315 102,946 51,473 154,420 77,210 38,605 115,816 57,908 28,954 14,477 43,432 21,716 10,858 5,429 16,288 8,144 4,072 2,036 1,018 509 1,528 764 382 191 574 287 862 431 1,294 647

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