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2,473,408

26 × 7 × 5521
Abundant Even Composite

2,473,408 factors as 2^6 × 7 × 5521. Its 28 positive divisors give a proper-divisor sum of 3,136,944, so this integer is abundant. The Collatz stopping time is 187 steps.

Prime Factor Structure

Factorization String 2^6 × 7 × 5521
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 5,610,352
Proper Divisor Sum 3,136,944
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2473391 ← → #2473409

Radix Representation

Decimal 2473408
Binary 1001011011110111000000 (22 bits)
Octal 0o11336700
Hexadecimal 0x25BDC0

Divisor Catalog (28)

1 2 4 7 8 14 16 28 32 56 64 112 224 448 5,521 11,042 22,084 38,647 44,168 77,294 88,336 154,588 176,672 309,176 353,344 618,352 1,236,704 2,473,408

Collatz Trajectory (187 steps to reach 1)

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

2,473,408 1,236,704 618,352 309,176 154,588 77,294 38,647 115,942 57,971 173,914 86,957 260,872 130,436 65,218 32,609 97,828 48,914 24,457 73,372 36,686 18,343 55,030 27,515 82,546 41,273 123,820 61,910 30,955 92,866 46,433 139,300 69,650 34,825 104,476 52,238 26,119 78,358 39,179 117,538 58,769 176,308 88,154 44,077 132,232 66,116 33,058 16,529 49,588 24,794 12,397 37,192 18,596 9,298 4,649 13,948 6,974 3,487 10,462 5,231 15,694

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