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Atlas › Integer Profiles › Node 36,975,370

36,975,370

2 × 5 × 47 × 151 × 521
Deficient Even Composite

36,975,370 factors as 2 × 5 × 47 × 151 × 521. Its 32 positive divisors give a proper-divisor sum of 31,577,846, so this integer is deficient. The Collatz stopping time is 196 steps.

Prime Factor Structure

Factorization String 2 × 5 × 47 × 151 × 521
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 68,553,216
Proper Divisor Sum 31,577,846
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #36975353 ← → #36975371

Radix Representation

Decimal 36975370
Binary 10001101000011001100001010 (26 bits)
Octal 0o215031412
Hexadecimal 0x234330A

Divisor Catalog (32)

1 2 5 10 47 94 151 235 302 470 521 755 1,042 1,510 2,605 5,210 7,097 14,194 24,487 35,485 48,974 70,970 78,671 122,435 157,342 244,870 393,355 786,710 3,697,537 7,395,074 18,487,685 36,975,370

Collatz Trajectory (196 steps to reach 1)

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

36,975,370 18,487,685 55,463,056 27,731,528 13,865,764 6,932,882 3,466,441 10,399,324 5,199,662 2,599,831 7,799,494 3,899,747 11,699,242 5,849,621 17,548,864 8,774,432 4,387,216 2,193,608 1,096,804 548,402 274,201 822,604 411,302 205,651 616,954 308,477 925,432 462,716 231,358 115,679 347,038 173,519 520,558 260,279 780,838 390,419 1,171,258 585,629 1,756,888 878,444 439,222 219,611 658,834 329,417 988,252 494,126 247,063 741,190 370,595 1,111,786 555,893 1,667,680 833,840 416,920 208,460 104,230 52,115 156,346 78,173 234,520

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