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Atlas › Integer Profiles › Node 1,316,601

1,316,601

33 × 112 × 13 × 31
Deficient Odd Composite

1,316,601 factors as 3^3 × 11^2 × 13 × 31. Its 48 positive divisors give a proper-divisor sum of 1,066,759, so this integer is deficient. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 3^3 × 11^2 × 13 × 31
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,383,360
Proper Divisor Sum 1,066,759
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1316593 ← → #1316603

Radix Representation

Decimal 1316601
Binary 101000001011011111001 (21 bits)
Octal 0o5013371
Hexadecimal 0x1416F9

Divisor Catalog (48)

1 3 9 11 13 27 31 33 39 93 99 117 121 143 279 297 341 351 363 403 429 837 1,023 1,089 1,209 1,287 1,573 3,069 3,267 3,627 3,751 3,861 4,433 4,719 9,207 10,881 11,253 13,299 14,157 33,759 39,897 42,471 48,763 101,277 119,691 146,289 438,867 1,316,601

Collatz Trajectory (147 steps to reach 1)

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

1,316,601 3,949,804 1,974,902 987,451 2,962,354 1,481,177 4,443,532 2,221,766 1,110,883 3,332,650 1,666,325 4,998,976 2,499,488 1,249,744 624,872 312,436 156,218 78,109 234,328 117,164 58,582 29,291 87,874 43,937 131,812 65,906 32,953 98,860 49,430 24,715 74,146 37,073 111,220 55,610 27,805 83,416 41,708 20,854 10,427 31,282 15,641 46,924 23,462 11,731 35,194 17,597 52,792 26,396 13,198 6,599 19,798 9,899 29,698 14,849 44,548 22,274 11,137 33,412 16,706 8,353

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