3,607,201

13 × 59 × 4703

3,607,201 factors as 13 × 59 × 4703. Its 8 positive divisors give a proper-divisor sum of 344,159, so this integer is deficient. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 13 × 59 × 4703

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,951,360

Proper Divisor Sum 344,159

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #3607199 ← → #3607211

Radix Representation

Decimal	3607201
Binary	1101110000101010100001 (22 bits)
Octal	0o15605241
Hexadecimal	0x370AA1

Divisor Catalog (8)

1 13 59 767 4,703 61,139 277,477 3,607,201

Collatz Trajectory (115 steps to reach 1)

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

3,607,201 10,821,604 5,410,802 2,705,401 8,116,204 4,058,102 2,029,051 6,087,154 3,043,577 9,130,732 4,565,366 2,282,683 6,848,050 3,424,025 10,272,076 5,136,038 2,568,019 7,704,058 3,852,029 11,556,088 5,778,044 2,889,022 1,444,511 4,333,534 2,166,767 6,500,302 3,250,151 9,750,454 4,875,227 14,625,682 7,312,841 21,938,524 10,969,262 5,484,631 16,453,894 8,226,947 24,680,842 12,340,421 37,021,264 18,510,632 9,255,316 4,627,658 2,313,829 6,941,488 3,470,744 1,735,372 867,686 433,843 1,301,530 650,765 1,952,296 976,148 488,074 244,037 732,112 366,056 183,028 91,514 45,757 137,272

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