1,117,984

2⁵ × 7² × 23 × 31

1,117,984 factors as 2^5 × 7^2 × 23 × 31. Its 72 positive divisors give a proper-divisor sum of 1,639,904, so this integer is abundant. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2^5 × 7^2 × 23 × 31

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 2,757,888

Proper Divisor Sum 1,639,904

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #1117973 ← → #1117993

Radix Representation

Decimal	1117984
Binary	100010000111100100000 (21 bits)
Octal	0o4207440
Hexadecimal	0x110F20

Divisor Catalog (60 of 72)

1 2 4 7 8 14 16 23 28 31 32 46 49 56 62 92 98 112 124 161 184 196 217 224 248 322 368 392 434 496 644 713 736 784 868 992 1,127 1,288 1,426 1,519 1,568 1,736 2,254 2,576 2,852 3,038 3,472 4,508 4,991 5,152 5,704 6,076 6,944 9,016 9,982 11,408 12,152 18,032 19,964 22,816

Collatz Trajectory (116 steps to reach 1)

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

1,117,984 558,992 279,496 139,748 69,874 34,937 104,812 52,406 26,203 78,610 39,305 117,916 58,958 29,479 88,438 44,219 132,658 66,329 198,988 99,494 49,747 149,242 74,621 223,864 111,932 55,966 27,983 83,950 41,975 125,926 62,963 188,890 94,445 283,336 141,668 70,834 35,417 106,252 53,126 26,563 79,690 39,845 119,536 59,768 29,884 14,942 7,471 22,414 11,207 33,622 16,811 50,434 25,217 75,652 37,826 18,913 56,740 28,370 14,185 42,556

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150

← Previous Integer #1,117,983 Browse Full Index Next Integer #1,117,985 →