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Atlas › Integer Profiles › Node 2,617,405

2,617,405

5 × 7 × 17 × 53 × 83
Deficient Odd Composite

2,617,405 factors as 5 × 7 × 17 × 53 × 83. Its 32 positive divisors give a proper-divisor sum of 1,301,699, so this integer is deficient. The Collatz stopping time is 99 steps.

Prime Factor Structure

Factorization String 5 × 7 × 17 × 53 × 83
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,919,104
Proper Divisor Sum 1,301,699
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2617403 ← → #2617409

Radix Representation

Decimal 2617405
Binary 1001111111000000111101 (22 bits)
Octal 0o11770075
Hexadecimal 0x27F03D

Divisor Catalog (32)

1 5 7 17 35 53 83 85 119 265 371 415 581 595 901 1,411 1,855 2,905 4,399 4,505 6,307 7,055 9,877 21,995 30,793 31,535 49,385 74,783 153,965 373,915 523,481 2,617,405

Collatz Trajectory (99 steps to reach 1)

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

2,617,405 7,852,216 3,926,108 1,963,054 981,527 2,944,582 1,472,291 4,416,874 2,208,437 6,625,312 3,312,656 1,656,328 828,164 414,082 207,041 621,124 310,562 155,281 465,844 232,922 116,461 349,384 174,692 87,346 43,673 131,020 65,510 32,755 98,266 49,133 147,400 73,700 36,850 18,425 55,276 27,638 13,819 41,458 20,729 62,188 31,094 15,547 46,642 23,321 69,964 34,982 17,491 52,474 26,237 78,712 39,356 19,678 9,839 29,518 14,759 44,278 22,139 66,418 33,209 99,628

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