770,941

47² × 349

770,941 factors as 47^2 × 349. Its 6 positive divisors give a proper-divisor sum of 19,009, so this integer is deficient. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 47^2 × 349

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 789,950

Proper Divisor Sum 19,009

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #770929 ← → #770951

Radix Representation

Decimal	770941
Binary	10111100001101111101 (20 bits)
Octal	0o2741575
Hexadecimal	0xBC37D

Divisor Catalog (6)

1 47 349 2,209 16,403 770,941

Collatz Trajectory (136 steps to reach 1)

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

770,941 2,312,824 1,156,412 578,206 289,103 867,310 433,655 1,300,966 650,483 1,951,450 975,725 2,927,176 1,463,588 731,794 365,897 1,097,692 548,846 274,423 823,270 411,635 1,234,906 617,453 1,852,360 926,180 463,090 231,545 694,636 347,318 173,659 520,978 260,489 781,468 390,734 195,367 586,102 293,051 879,154 439,577 1,318,732 659,366 329,683 989,050 494,525 1,483,576 741,788 370,894 185,447 556,342 278,171 834,514 417,257 1,251,772 625,886 312,943 938,830 469,415 1,408,246 704,123 2,112,370 1,056,185

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