7,404,416

2⁷ × 57847

7,404,416 factors as 2^7 × 57847. Its 16 positive divisors give a proper-divisor sum of 7,346,824, so this integer is deficient. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2^7 × 57847

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,751,240

Proper Divisor Sum 7,346,824

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #7404409 ← → #7404421

Radix Representation

Decimal	7404416
Binary	11100001111101110000000 (23 bits)
Octal	0o34175600
Hexadecimal	0x70FB80

Divisor Catalog (16)

1 2 4 8 16 32 64 128 57,847 115,694 231,388 462,776 925,552 1,851,104 3,702,208 7,404,416

Collatz Trajectory (165 steps to reach 1)

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

7,404,416 3,702,208 1,851,104 925,552 462,776 231,388 115,694 57,847 173,542 86,771 260,314 130,157 390,472 195,236 97,618 48,809 146,428 73,214 36,607 109,822 54,911 164,734 82,367 247,102 123,551 370,654 185,327 555,982 277,991 833,974 416,987 1,250,962 625,481 1,876,444 938,222 469,111 1,407,334 703,667 2,111,002 1,055,501 3,166,504 1,583,252 791,626 395,813 1,187,440 593,720 296,860 148,430 74,215 222,646 111,323 333,970 166,985 500,956 250,478 125,239 375,718 187,859 563,578 281,789

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