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Atlas › Integer Profiles › Node 7,309,984

7,309,984

25 × 11 × 19 × 1093
Abundant Even Composite

7,309,984 factors as 2^5 × 11 × 19 × 1093. Its 48 positive divisors give a proper-divisor sum of 9,231,296, so this integer is abundant. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^5 × 11 × 19 × 1093
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 16,541,280
Proper Divisor Sum 9,231,296
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7309933 ← → #7309987

Radix Representation

Decimal 7309984
Binary 11011111000101010100000 (23 bits)
Octal 0o33705240
Hexadecimal 0x6F8AA0

Divisor Catalog (48)

1 2 4 8 11 16 19 22 32 38 44 76 88 152 176 209 304 352 418 608 836 1,093 1,672 2,186 3,344 4,372 6,688 8,744 12,023 17,488 20,767 24,046 34,976 41,534 48,092 83,068 96,184 166,136 192,368 228,437 332,272 384,736 456,874 664,544 913,748 1,827,496 3,654,992 7,309,984

Collatz Trajectory (85 steps to reach 1)

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

7,309,984 3,654,992 1,827,496 913,748 456,874 228,437 685,312 342,656 171,328 85,664 42,832 21,416 10,708 5,354 2,677 8,032 4,016 2,008 1,004 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300

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