λ
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36,937,803

3 × 7 × 37 × 137 × 347
Deficient Odd Composite

36,937,803 factors as 3 × 7 × 37 × 137 × 347. Its 32 positive divisors give a proper-divisor sum of 21,459,381, so this integer is deficient. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 3 × 7 × 37 × 137 × 347
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 58,397,184
Proper Divisor Sum 21,459,381
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #36937799 ← → #36937807

Radix Representation

Decimal 36937803
Binary 10001100111010000001001011 (26 bits)
Octal 0o214720113
Hexadecimal 0x233A04B

Divisor Catalog (32)

1 3 7 21 37 111 137 259 347 411 777 959 1,041 2,429 2,877 5,069 7,287 12,839 15,207 35,483 38,517 47,539 89,873 106,449 142,617 269,619 332,773 998,319 1,758,943 5,276,829 12,312,601 36,937,803

Collatz Trajectory (103 steps to reach 1)

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

36,937,803 110,813,410 55,406,705 166,220,116 83,110,058 41,555,029 124,665,088 62,332,544 31,166,272 15,583,136 7,791,568 3,895,784 1,947,892 973,946 486,973 1,460,920 730,460 365,230 182,615 547,846 273,923 821,770 410,885 1,232,656 616,328 308,164 154,082 77,041 231,124 115,562 57,781 173,344 86,672 43,336 21,668 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720 30,860 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085

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