λ
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Atlas › Integer Profiles › Node 7,598,487

7,598,487

3 × 13 × 23 × 43 × 197
Deficient Odd Composite

7,598,487 factors as 3 × 13 × 23 × 43 × 197. Its 32 positive divisors give a proper-divisor sum of 4,110,441, so this integer is deficient. The Collatz stopping time is 248 steps.

Prime Factor Structure

Factorization String 3 × 13 × 23 × 43 × 197
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,708,928
Proper Divisor Sum 4,110,441
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #7598483 ← → #7598501

Radix Representation

Decimal 7598487
Binary 11100111111000110010111 (23 bits)
Octal 0o34770627
Hexadecimal 0x73F197

Divisor Catalog (32)

1 3 13 23 39 43 69 129 197 299 559 591 897 989 1,677 2,561 2,967 4,531 7,683 8,471 12,857 13,593 25,413 38,571 58,903 110,123 176,709 194,833 330,369 584,499 2,532,829 7,598,487

Collatz Trajectory (248 steps to reach 1)

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

7,598,487 22,795,462 11,397,731 34,193,194 17,096,597 51,289,792 25,644,896 12,822,448 6,411,224 3,205,612 1,602,806 801,403 2,404,210 1,202,105 3,606,316 1,803,158 901,579 2,704,738 1,352,369 4,057,108 2,028,554 1,014,277 3,042,832 1,521,416 760,708 380,354 190,177 570,532 285,266 142,633 427,900 213,950 106,975 320,926 160,463 481,390 240,695 722,086 361,043 1,083,130 541,565 1,624,696 812,348 406,174 203,087 609,262 304,631 913,894 456,947 1,370,842 685,421 2,056,264 1,028,132 514,066 257,033 771,100 385,550 192,775 578,326 289,163

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