4,076,793

3² × 7 × 163 × 397

4,076,793 has digital root 9. The neighboring primes are 4076783 and 4076803; its proper-divisor sum differs from the starting integer by -1,365,298.

Prime Factor Structure

Factorization String 3^2 × 7 × 163 × 397

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,788,288

Proper Divisor Sum 2,711,495

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4076783 ← → #4076803

Radix Representation

Decimal	4076793
Binary	1111100011010011111001 (22 bits)
Octal	0o17432371
Hexadecimal	0x3E34F9

Divisor Catalog (24)

1 3 7 9 21 63 163 397 489 1,141 1,191 1,467 2,779 3,423 3,573 8,337 10,269 25,011 64,711 194,133 452,977 582,399 1,358,931 4,076,793

Collatz Trajectory (198 steps to reach 1)

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

4,076,793 12,230,380 6,115,190 3,057,595 9,172,786 4,586,393 13,759,180 6,879,590 3,439,795 10,319,386 5,159,693 15,479,080 7,739,540 3,869,770 1,934,885 5,804,656 2,902,328 1,451,164 725,582 362,791 1,088,374 544,187 1,632,562 816,281 2,448,844 1,224,422 612,211 1,836,634 918,317 2,754,952 1,377,476 688,738 344,369 1,033,108 516,554 258,277 774,832 387,416 193,708 96,854 48,427 145,282 72,641 217,924 108,962 54,481 163,444 81,722 40,861 122,584 61,292 30,646 15,323 45,970 22,985 68,956 34,478 17,239 51,718 25,859

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