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Atlas › Integer Profiles › Node 34,036,618

34,036,618

2 × 7 × 11 × 17 × 13001
Deficient Even Composite

34,036,618 factors as 2 × 7 × 11 × 17 × 13001. Its 32 positive divisors give a proper-divisor sum of 33,365,750, so this integer is deficient. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 2 × 7 × 11 × 17 × 13001
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 67,402,368
Proper Divisor Sum 33,365,750
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #34036609 ← → #34036631

Radix Representation

Decimal 34036618
Binary 10000001110101101110001010 (26 bits)
Octal 0o201655612
Hexadecimal 0x2075B8A

Divisor Catalog (32)

1 2 7 11 14 17 22 34 77 119 154 187 238 374 1,309 2,618 13,001 26,002 91,007 143,011 182,014 221,017 286,022 442,034 1,001,077 1,547,119 2,002,154 2,431,187 3,094,238 4,862,374 17,018,309 34,036,618

Collatz Trajectory (152 steps to reach 1)

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

34,036,618 17,018,309 51,054,928 25,527,464 12,763,732 6,381,866 3,190,933 9,572,800 4,786,400 2,393,200 1,196,600 598,300 299,150 149,575 448,726 224,363 673,090 336,545 1,009,636 504,818 252,409 757,228 378,614 189,307 567,922 283,961 851,884 425,942 212,971 638,914 319,457 958,372 479,186 239,593 718,780 359,390 179,695 539,086 269,543 808,630 404,315 1,212,946 606,473 1,819,420 909,710 454,855 1,364,566 682,283 2,046,850 1,023,425 3,070,276 1,535,138 767,569 2,302,708 1,151,354 575,677 1,727,032 863,516 431,758 215,879

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