λ
Integer Codex

7,771,849

101 × 76949
Deficient Odd Composite

For 7,771,849, the 4 positive divisors have a total of 7,848,900. Removing 7,771,849 leaves 77,051, which gives the deficient classification.

Prime Factor Structure

Factorization String 101 × 76949
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,848,900
Proper Divisor Sum 77,051
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #7771843 ← → #7771859

Radix Representation

Decimal 7771849
Binary 11101101001011011001001 (23 bits)
Octal 0o35513311
Hexadecimal 0x7696C9

Divisor Catalog (4)

1 101 76,949 7,771,849

Collatz Trajectory (217 steps to reach 1)

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

7,771,849 23,315,548 11,657,774 5,828,887 17,486,662 8,743,331 26,229,994 13,114,997 39,344,992 19,672,496 9,836,248 4,918,124 2,459,062 1,229,531 3,688,594 1,844,297 5,532,892 2,766,446 1,383,223 4,149,670 2,074,835 6,224,506 3,112,253 9,336,760 4,668,380 2,334,190 1,167,095 3,501,286 1,750,643 5,251,930 2,625,965 7,877,896 3,938,948 1,969,474 984,737 2,954,212 1,477,106 738,553 2,215,660 1,107,830 553,915 1,661,746 830,873 2,492,620 1,246,310 623,155 1,869,466 934,733 2,804,200 1,402,100 701,050 350,525 1,051,576 525,788 262,894 131,447 394,342 197,171 591,514 295,757

More profiles

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