1,400,448

2⁷ × 3 × 7 × 521

1,400,448 is even and not a perfect square. Its factorization is 2^7 × 3 × 7 × 521 and its 64 divisors sum to 4,259,520.

Prime Factor Structure

Factorization String 2^7 × 3 × 7 × 521

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 4,259,520

Proper Divisor Sum 2,859,072

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #1400423 ← → #1400449

Radix Representation

Decimal	1400448
Binary	101010101111010000000 (21 bits)
Octal	0o5257200
Hexadecimal	0x155E80

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 521 672 896 1,042 1,344 1,563 2,084 2,688 3,126 3,647 4,168 6,252 7,294 8,336 10,941 12,504 14,588 16,672 21,882 25,008 29,176 33,344 43,764 50,016 58,352 66,688 87,528 100,032 116,704 175,056 200,064 233,408

Collatz Trajectory (168 steps to reach 1)

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

1,400,448 700,224 350,112 175,056 87,528 43,764 21,882 10,941 32,824 16,412 8,206 4,103 12,310 6,155 18,466 9,233 27,700 13,850 6,925 20,776 10,388 5,194 2,597 7,792 3,896 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248

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