λ
Ratio Atlas

36,947,103

3 × 17 × 724453
Deficient Odd Composite

36,947,103 factors as 3 × 17 × 724453. Its 8 positive divisors give a proper-divisor sum of 15,213,585, so this integer is deficient. The Collatz stopping time is 170 steps.

Prime Factor Structure

Factorization String 3 × 17 × 724453
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 52,160,688
Proper Divisor Sum 15,213,585
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #36947101 ← → #36947117

Radix Representation

Decimal 36947103
Binary 10001100111100010010011111 (26 bits)
Octal 0o214742237
Hexadecimal 0x233C49F

Divisor Catalog (8)

Collatz Trajectory (170 steps to reach 1)

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

36,947,103 110,841,310 55,420,655 166,261,966 83,130,983 249,392,950 124,696,475 374,089,426 187,044,713 561,134,140 280,567,070 140,283,535 420,850,606 210,425,303 631,275,910 315,637,955 946,913,866 473,456,933 1,420,370,800 710,185,400 355,092,700 177,546,350 88,773,175 266,319,526 133,159,763 399,479,290 199,739,645 599,218,936 299,609,468 149,804,734 74,902,367 224,707,102 112,353,551 337,060,654 168,530,327 505,590,982 252,795,491 758,386,474 379,193,237 1,137,579,712 568,789,856 284,394,928 142,197,464 71,098,732 35,549,366 17,774,683 53,324,050 26,662,025 79,986,076 39,993,038 19,996,519 59,989,558 29,994,779 89,984,338 44,992,169 134,976,508 67,488,254 33,744,127 101,232,382 50,616,191

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