λ
Ratio Atlas

10,025,603

7 × 521 × 2749
Deficient Odd Composite

10,025,603 factors as 7 × 521 × 2749. Its 8 positive divisors give a proper-divisor sum of 1,458,397, so this integer is deficient. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 7 × 521 × 2749
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,484,000
Proper Divisor Sum 1,458,397
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #10025599 ← → #10025621

Radix Representation

Decimal 10025603
Binary 100110001111101010000011 (24 bits)
Octal 0o46175203
Hexadecimal 0x98FA83

Divisor Catalog (8)

1 7 521 2,749 3,647 19,243 1,432,229 10,025,603

Collatz Trajectory (114 steps to reach 1)

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

10,025,603 30,076,810 15,038,405 45,115,216 22,557,608 11,278,804 5,639,402 2,819,701 8,459,104 4,229,552 2,114,776 1,057,388 528,694 264,347 793,042 396,521 1,189,564 594,782 297,391 892,174 446,087 1,338,262 669,131 2,007,394 1,003,697 3,011,092 1,505,546 752,773 2,258,320 1,129,160 564,580 282,290 141,145 423,436 211,718 105,859 317,578 158,789 476,368 238,184 119,092 59,546 29,773 89,320 44,660 22,330 11,165 33,496 16,748 8,374 4,187 12,562 6,281 18,844 9,422 4,711 14,134 7,067 21,202 10,601

More profiles

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