3,605,372

2² × 59 × 15277

3,605,372 factors as 2^2 × 59 × 15277. Its 12 positive divisors give a proper-divisor sum of 2,811,388, so this integer is deficient. The Collatz stopping time is 89 steps.

Prime Factor Structure

Factorization String 2^2 × 59 × 15277

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,416,760

Proper Divisor Sum 2,811,388

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #3605369 ← → #3605387

Radix Representation

Decimal	3605372
Binary	1101110000001101111100 (22 bits)
Octal	0o15601574
Hexadecimal	0x37037C

Divisor Catalog (12)

1 2 4 59 118 236 15,277 30,554 61,108 901,343 1,802,686 3,605,372

Collatz Trajectory (89 steps to reach 1)

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

3,605,372 1,802,686 901,343 2,704,030 1,352,015 4,056,046 2,028,023 6,084,070 3,042,035 9,126,106 4,563,053 13,689,160 6,844,580 3,422,290 1,711,145 5,133,436 2,566,718 1,283,359 3,850,078 1,925,039 5,775,118 2,887,559 8,662,678 4,331,339 12,994,018 6,497,009 19,491,028 9,745,514 4,872,757 14,618,272 7,309,136 3,654,568 1,827,284 913,642 456,821 1,370,464 685,232 342,616 171,308 85,654 42,827 128,482 64,241 192,724 96,362 48,181 144,544 72,272 36,136 18,068 9,034 4,517 13,552 6,776 3,388 1,694 847 2,542 1,271 3,814

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