6,477,008

2⁴ × 331 × 1223

6,477,008 factors as 2^4 × 331 × 1223. Its 20 positive divisors give a proper-divisor sum of 6,120,400, so this integer is deficient. The Collatz stopping time is 64 steps.

Prime Factor Structure

Factorization String 2^4 × 331 × 1223

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 12,597,408

Proper Divisor Sum 6,120,400

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #6476969 ← → #6477011

Radix Representation

Decimal	6477008
Binary	11000101101010011010000 (23 bits)
Octal	0o30552320
Hexadecimal	0x62D4D0

Divisor Catalog (20)

1 2 4 8 16 331 662 1,223 1,324 2,446 2,648 4,892 5,296 9,784 19,568 404,813 809,626 1,619,252 3,238,504 6,477,008

Collatz Trajectory (64 steps to reach 1)

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

6,477,008 3,238,504 1,619,252 809,626 404,813 1,214,440 607,220 303,610 151,805 455,416 227,708 113,854 56,927 170,782 85,391 256,174 128,087 384,262 192,131 576,394 288,197 864,592 432,296 216,148 108,074 54,037 162,112 81,056 40,528 20,264 10,132 5,066 2,533 7,600 3,800 1,900 950 475 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32

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