λ
Integer Codex

770,401

770401
Deficient Odd Prime

For 770,401, the 2 positive divisors have a total of 770,402. Removing 770,401 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 770401
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 770,402
Proper Divisor Sum 1
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #770387 ← → #770417

Radix Representation

Decimal 770401
Binary 10111100000101100001 (20 bits)
Octal 0o2740541
Hexadecimal 0xBC161

Divisor Catalog (2)

Collatz Trajectory (162 steps to reach 1)

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

770,401 2,311,204 1,155,602 577,801 1,733,404 866,702 433,351 1,300,054 650,027 1,950,082 975,041 2,925,124 1,462,562 731,281 2,193,844 1,096,922 548,461 1,645,384 822,692 411,346 205,673 617,020 308,510 154,255 462,766 231,383 694,150 347,075 1,041,226 520,613 1,561,840 780,920 390,460 195,230 97,615 292,846 146,423 439,270 219,635 658,906 329,453 988,360 494,180 247,090 123,545 370,636 185,318 92,659 277,978 138,989 416,968 208,484 104,242 52,121 156,364 78,182 39,091 117,274 58,637 175,912

More profiles

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