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Atlas › Integer Profiles › Node 32,136,702

32,136,702

2 × 3 × 132 × 41 × 773
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 13^2 × 41 × 773
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 71,387,568
Proper Divisor Sum 39,250,866
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #32136641 ← → #32136703

Radix Representation

Decimal 32136702
Binary 1111010100101110111111110 (25 bits)
Octal 0o172456776
Hexadecimal 0x1EA5DFE

Divisor Catalog (48)

1 2 3 6 13 26 39 41 78 82 123 169 246 338 507 533 773 1,014 1,066 1,546 1,599 2,319 3,198 4,638 6,929 10,049 13,858 20,098 20,787 30,147 31,693 41,574 60,294 63,386 95,079 130,637 190,158 261,274 391,911 412,009 783,822 824,018 1,236,027 2,472,054 5,356,117 10,712,234 16,068,351 32,136,702

Collatz Trajectory (170 steps to reach 1)

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

32,136,702 16,068,351 48,205,054 24,102,527 72,307,582 36,153,791 108,461,374 54,230,687 162,692,062 81,346,031 244,038,094 122,019,047 366,057,142 183,028,571 549,085,714 274,542,857 823,628,572 411,814,286 205,907,143 617,721,430 308,860,715 926,582,146 463,291,073 1,389,873,220 694,936,610 347,468,305 1,042,404,916 521,202,458 260,601,229 781,803,688 390,901,844 195,450,922 97,725,461 293,176,384 146,588,192 73,294,096 36,647,048 18,323,524 9,161,762 4,580,881 13,742,644 6,871,322 3,435,661 10,306,984 5,153,492 2,576,746 1,288,373 3,865,120 1,932,560 966,280 483,140 241,570 120,785 362,356 181,178 90,589 271,768 135,884 67,942 33,971

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