λ
Integer Codex

6,277,004

22 × 31 × 223 × 227
Deficient Even Composite

For 6,277,004, the 24 positive divisors have a total of 11,440,128. Removing 6,277,004 leaves 5,163,124, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 31 × 223 × 227
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,440,128
Proper Divisor Sum 5,163,124
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #6277001 ← → #6277009

Radix Representation

Decimal 6277004
Binary 10111111100011110001100 (23 bits)
Octal 0o27743614
Hexadecimal 0x5FC78C

Divisor Catalog (24)

1 2 4 31 62 124 223 227 446 454 892 908 6,913 7,037 13,826 14,074 27,652 28,148 50,621 101,242 202,484 1,569,251 3,138,502 6,277,004

Collatz Trajectory (103 steps to reach 1)

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

6,277,004 3,138,502 1,569,251 4,707,754 2,353,877 7,061,632 3,530,816 1,765,408 882,704 441,352 220,676 110,338 55,169 165,508 82,754 41,377 124,132 62,066 31,033 93,100 46,550 23,275 69,826 34,913 104,740 52,370 26,185 78,556 39,278 19,639 58,918 29,459 88,378 44,189 132,568 66,284 33,142 16,571 49,714 24,857 74,572 37,286 18,643 55,930 27,965 83,896 41,948 20,974 10,487 31,462 15,731 47,194 23,597 70,792 35,396 17,698 8,849 26,548 13,274 6,637

More profiles

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