λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,175,140

7,175,140

22 × 5 × 7 × 53 × 967
Abundant Even Composite

7,175,140 factors as 2^2 × 5 × 7 × 53 × 967. Its 48 positive divisors give a proper-divisor sum of 10,388,252, so this integer is abundant. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 53 × 967
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,563,392
Proper Divisor Sum 10,388,252
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7175117 ← → #7175153

Radix Representation

Decimal 7175140
Binary 11011010111101111100100 (23 bits)
Octal 0o33275744
Hexadecimal 0x6D7BE4

Divisor Catalog (48)

1 2 4 5 7 10 14 20 28 35 53 70 106 140 212 265 371 530 742 967 1,060 1,484 1,855 1,934 3,710 3,868 4,835 6,769 7,420 9,670 13,538 19,340 27,076 33,845 51,251 67,690 102,502 135,380 205,004 256,255 358,757 512,510 717,514 1,025,020 1,435,028 1,793,785 3,587,570 7,175,140

Collatz Trajectory (160 steps to reach 1)

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

7,175,140 3,587,570 1,793,785 5,381,356 2,690,678 1,345,339 4,036,018 2,018,009 6,054,028 3,027,014 1,513,507 4,540,522 2,270,261 6,810,784 3,405,392 1,702,696 851,348 425,674 212,837 638,512 319,256 159,628 79,814 39,907 119,722 59,861 179,584 89,792 44,896 22,448 11,224 5,612 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71 214

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #7,175,139 Browse Full Index Next Integer #7,175,141 →