17,419,025

5² × 13 × 53597

17,419,025 factors as 5^2 × 13 × 53597. Its 12 positive divisors give a proper-divisor sum of 5,842,507, so this integer is deficient. The Collatz stopping time is 412 steps.

Prime Factor Structure

Factorization String 5^2 × 13 × 53597

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 23,261,532

Proper Divisor Sum 5,842,507

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #17419021 ← → #17419043

Radix Representation

Decimal	17419025
Binary	1000010011100101100010001 (25 bits)
Octal	0o102345421
Hexadecimal	0x109CB11

Divisor Catalog (12)

1 5 13 25 65 325 53,597 267,985 696,761 1,339,925 3,483,805 17,419,025

Collatz Trajectory (412 steps to reach 1)

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

17,419,025 52,257,076 26,128,538 13,064,269 39,192,808 19,596,404 9,798,202 4,899,101 14,697,304 7,348,652 3,674,326 1,837,163 5,511,490 2,755,745 8,267,236 4,133,618 2,066,809 6,200,428 3,100,214 1,550,107 4,650,322 2,325,161 6,975,484 3,487,742 1,743,871 5,231,614 2,615,807 7,847,422 3,923,711 11,771,134 5,885,567 17,656,702 8,828,351 26,485,054 13,242,527 39,727,582 19,863,791 59,591,374 29,795,687 89,387,062 44,693,531 134,080,594 67,040,297 201,120,892 100,560,446 50,280,223 150,840,670 75,420,335 226,261,006 113,130,503 339,391,510 169,695,755 509,087,266 254,543,633 763,630,900 381,815,450 190,907,725 572,723,176 286,361,588 143,180,794

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