λ
Ratio Atlas
Atlas › Integer Profiles › Node 40,754,770

40,754,770

2 × 5 × 72 × 31 × 2683
Abundant Even Composite

40,754,770 factors as 2 × 5 × 7^2 × 31 × 2683. Its 48 positive divisors give a proper-divisor sum of 47,366,318, so this integer is abundant. The Collatz stopping time is 253 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7^2 × 31 × 2683
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 88,121,088
Proper Divisor Sum 47,366,318
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #40754741 ← → #40754807

Radix Representation

Decimal 40754770
Binary 10011011011101111001010010 (26 bits)
Octal 0o233357122
Hexadecimal 0x26DDE52

Divisor Catalog (48)

1 2 5 7 10 14 31 35 49 62 70 98 155 217 245 310 434 490 1,085 1,519 2,170 2,683 3,038 5,366 7,595 13,415 15,190 18,781 26,830 37,562 83,173 93,905 131,467 166,346 187,810 262,934 415,865 582,211 657,335 831,730 1,164,422 1,314,670 2,911,055 4,075,477 5,822,110 8,150,954 20,377,385 40,754,770

Collatz Trajectory (253 steps to reach 1)

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

40,754,770 20,377,385 61,132,156 30,566,078 15,283,039 45,849,118 22,924,559 68,773,678 34,386,839 103,160,518 51,580,259 154,740,778 77,370,389 232,111,168 116,055,584 58,027,792 29,013,896 14,506,948 7,253,474 3,626,737 10,880,212 5,440,106 2,720,053 8,160,160 4,080,080 2,040,040 1,020,020 510,010 255,005 765,016 382,508 191,254 95,627 286,882 143,441 430,324 215,162 107,581 322,744 161,372 80,686 40,343 121,030 60,515 181,546 90,773 272,320 136,160 68,080 34,040 17,020 8,510 4,255 12,766 6,383 19,150 9,575 28,726 14,363 43,090

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #40,754,769 Browse Full Index Next Integer #40,754,771 →