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Atlas › Integer Profiles › Node 36,968,776

36,968,776

23 × 13 × 373 × 953
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 13 × 373 × 953
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 74,927,160
Proper Divisor Sum 37,958,384
Digit Sum / Digital Root 52 (Root: 7)
Adjacent Primes #36968773 ← → #36968803

Radix Representation

Decimal 36968776
Binary 10001101000001100101001000 (26 bits)
Octal 0o215014510
Hexadecimal 0x2341948

Divisor Catalog (32)

1 2 4 8 13 26 52 104 373 746 953 1,492 1,906 2,984 3,812 4,849 7,624 9,698 12,389 19,396 24,778 38,792 49,556 99,112 355,469 710,938 1,421,876 2,843,752 4,621,097 9,242,194 18,484,388 36,968,776

Collatz Trajectory (188 steps to reach 1)

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

36,968,776 18,484,388 9,242,194 4,621,097 13,863,292 6,931,646 3,465,823 10,397,470 5,198,735 15,596,206 7,798,103 23,394,310 11,697,155 35,091,466 17,545,733 52,637,200 26,318,600 13,159,300 6,579,650 3,289,825 9,869,476 4,934,738 2,467,369 7,402,108 3,701,054 1,850,527 5,551,582 2,775,791 8,327,374 4,163,687 12,491,062 6,245,531 18,736,594 9,368,297 28,104,892 14,052,446 7,026,223 21,078,670 10,539,335 31,618,006 15,809,003 47,427,010 23,713,505 71,140,516 35,570,258 17,785,129 53,355,388 26,677,694 13,338,847 40,016,542 20,008,271 60,024,814 30,012,407 90,037,222 45,018,611 135,055,834 67,527,917 202,583,752 101,291,876 50,645,938

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