4,127,977

7 × 589711

4,127,977 factors as 7 × 589711. Its 4 positive divisors give a proper-divisor sum of 589,719, so this integer is deficient. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 7 × 589711

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 4,717,696

Proper Divisor Sum 589,719

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #4127951 ← → #4127983

Radix Representation

Decimal	4127977
Binary	1111101111110011101001 (22 bits)
Octal	0o17576351
Hexadecimal	0x3EFCE9

Divisor Catalog (4)

1 7 589,711 4,127,977

Collatz Trajectory (167 steps to reach 1)

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

4,127,977 12,383,932 6,191,966 3,095,983 9,287,950 4,643,975 13,931,926 6,965,963 20,897,890 10,448,945 31,346,836 15,673,418 7,836,709 23,510,128 11,755,064 5,877,532 2,938,766 1,469,383 4,408,150 2,204,075 6,612,226 3,306,113 9,918,340 4,959,170 2,479,585 7,438,756 3,719,378 1,859,689 5,579,068 2,789,534 1,394,767 4,184,302 2,092,151 6,276,454 3,138,227 9,414,682 4,707,341 14,122,024 7,061,012 3,530,506 1,765,253 5,295,760 2,647,880 1,323,940 661,970 330,985 992,956 496,478 248,239 744,718 372,359 1,117,078 558,539 1,675,618 837,809 2,513,428 1,256,714 628,357 1,885,072 942,536

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