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Atlas › Integer Profiles › Node 36,846,130

36,846,130

2 × 5 × 19 × 53 × 3659
Deficient Even Composite

36,846,130 factors as 2 × 5 × 19 × 53 × 3659. Its 32 positive divisors give a proper-divisor sum of 34,304,270, so this integer is deficient. The Collatz stopping time is 302 steps.

Prime Factor Structure

Factorization String 2 × 5 × 19 × 53 × 3659
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 71,150,400
Proper Divisor Sum 34,304,270
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #36846127 ← → #36846133

Radix Representation

Decimal 36846130
Binary 10001100100011101000110010 (26 bits)
Octal 0o214435062
Hexadecimal 0x2323A32

Divisor Catalog (32)

1 2 5 10 19 38 53 95 106 190 265 530 1,007 2,014 3,659 5,035 7,318 10,070 18,295 36,590 69,521 139,042 193,927 347,605 387,854 695,210 969,635 1,939,270 3,684,613 7,369,226 18,423,065 36,846,130

Collatz Trajectory (302 steps to reach 1)

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

36,846,130 18,423,065 55,269,196 27,634,598 13,817,299 41,451,898 20,725,949 62,177,848 31,088,924 15,544,462 7,772,231 23,316,694 11,658,347 34,975,042 17,487,521 52,462,564 26,231,282 13,115,641 39,346,924 19,673,462 9,836,731 29,510,194 14,755,097 44,265,292 22,132,646 11,066,323 33,198,970 16,599,485 49,798,456 24,899,228 12,449,614 6,224,807 18,674,422 9,337,211 28,011,634 14,005,817 42,017,452 21,008,726 10,504,363 31,513,090 15,756,545 47,269,636 23,634,818 11,817,409 35,452,228 17,726,114 8,863,057 26,589,172 13,294,586 6,647,293 19,941,880 9,970,940 4,985,470 2,492,735 7,478,206 3,739,103 11,217,310 5,608,655 16,825,966 8,412,983

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