λ
Harmonic Matrix

770,707

7 × 23 × 4787
Deficient Odd Composite

770,707 has digital root 1. The neighboring primes are 770669 and 770741; its proper-divisor sum differs from the starting integer by -622,118.

Prime Factor Structure

Factorization String 7 × 23 × 4787
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 919,296
Proper Divisor Sum 148,589
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #770669 ← → #770741

Radix Representation

Decimal 770707
Binary 10111100001010010011 (20 bits)
Octal 0o2741223
Hexadecimal 0xBC293

Divisor Catalog (8)

1 7 23 161 4,787 33,509 110,101 770,707

Collatz Trajectory (162 steps to reach 1)

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

770,707 2,312,122 1,156,061 3,468,184 1,734,092 867,046 433,523 1,300,570 650,285 1,950,856 975,428 487,714 243,857 731,572 365,786 182,893 548,680 274,340 137,170 68,585 205,756 102,878 51,439 154,318 77,159 231,478 115,739 347,218 173,609 520,828 260,414 130,207 390,622 195,311 585,934 292,967 878,902 439,451 1,318,354 659,177 1,977,532 988,766 494,383 1,483,150 741,575 2,224,726 1,112,363 3,337,090 1,668,545 5,005,636 2,502,818 1,251,409 3,754,228 1,877,114 938,557 2,815,672 1,407,836 703,918 351,959 1,055,878

More profiles

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