370,107

3² × 17 × 41 × 59

370,107 factors as 3^2 × 17 × 41 × 59. Its 24 positive divisors give a proper-divisor sum of 219,573, so this integer is deficient. The Collatz stopping time is 140 steps.

Prime Factor Structure

Factorization String 3^2 × 17 × 41 × 59

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 589,680

Proper Divisor Sum 219,573

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #370103 ← → #370121

Radix Representation

Decimal	370107
Binary	1011010010110111011 (19 bits)
Octal	0o1322673
Hexadecimal	0x5A5BB

Divisor Catalog (24)

1 3 9 17 41 51 59 123 153 177 369 531 697 1,003 2,091 2,419 3,009 6,273 7,257 9,027 21,771 41,123 123,369 370,107

Collatz Trajectory (140 steps to reach 1)

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

370,107 1,110,322 555,161 1,665,484 832,742 416,371 1,249,114 624,557 1,873,672 936,836 468,418 234,209 702,628 351,314 175,657 526,972 263,486 131,743 395,230 197,615 592,846 296,423 889,270 444,635 1,333,906 666,953 2,000,860 1,000,430 500,215 1,500,646 750,323 2,250,970 1,125,485 3,376,456 1,688,228 844,114 422,057 1,266,172 633,086 316,543 949,630 474,815 1,424,446 712,223 2,136,670 1,068,335 3,205,006 1,602,503 4,807,510 2,403,755 7,211,266 3,605,633 10,816,900 5,408,450 2,704,225 8,112,676 4,056,338 2,028,169 6,084,508 3,042,254

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