λ
Integer Codex

6,131,101

17 × 360653
Deficient Odd Composite

For 6,131,101, the 4 positive divisors have a total of 6,491,772. Removing 6,131,101 leaves 360,671, which gives the deficient classification.

Prime Factor Structure

Factorization String 17 × 360653
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,491,772
Proper Divisor Sum 360,671
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #6131089 ← → #6131119

Radix Representation

Decimal 6131101
Binary 10111011000110110011101 (23 bits)
Octal 0o27306635
Hexadecimal 0x5D8D9D

Divisor Catalog (4)

1 17 360,653 6,131,101

Collatz Trajectory (258 steps to reach 1)

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

6,131,101 18,393,304 9,196,652 4,598,326 2,299,163 6,897,490 3,448,745 10,346,236 5,173,118 2,586,559 7,759,678 3,879,839 11,639,518 5,819,759 17,459,278 8,729,639 26,188,918 13,094,459 39,283,378 19,641,689 58,925,068 29,462,534 14,731,267 44,193,802 22,096,901 66,290,704 33,145,352 16,572,676 8,286,338 4,143,169 12,429,508 6,214,754 3,107,377 9,322,132 4,661,066 2,330,533 6,991,600 3,495,800 1,747,900 873,950 436,975 1,310,926 655,463 1,966,390 983,195 2,949,586 1,474,793 4,424,380 2,212,190 1,106,095 3,318,286 1,659,143 4,977,430 2,488,715 7,466,146 3,733,073 11,199,220 5,599,610 2,799,805 8,399,416

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