λ
Ratio Atlas
Atlas › Integer Profiles › Node 67,683,680

67,683,680

25 × 5 × 292 × 503
Abundant Even Composite

67,683,680 factors as 2^5 × 5 × 29^2 × 503. Its 72 positive divisors give a proper-divisor sum of 98,252,272, so this integer is abundant. The Collatz stopping time is 78 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 29^2 × 503
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 165,935,952
Proper Divisor Sum 98,252,272
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #67683673 ← → #67683689

Radix Representation

Decimal 67683680
Binary 100000010001100010101100000 (27 bits)
Octal 0o402142540
Hexadecimal 0x408C560

Divisor Catalog (60 of 72)

1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 503 580 841 928 1,006 1,160 1,682 2,012 2,320 2,515 3,364 4,024 4,205 4,640 5,030 6,728 8,048 8,410 10,060 13,456 14,587 16,096 16,820 20,120 26,912 29,174 33,640 40,240 58,348 67,280 72,935 80,480 116,696 134,560 145,870 233,392 291,740 423,023 466,784 583,480 846,046

Collatz Trajectory (78 steps to reach 1)

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

67,683,680 33,841,840 16,920,920 8,460,460 4,230,230 2,115,115 6,345,346 3,172,673 9,518,020 4,759,010 2,379,505 7,138,516 3,569,258 1,784,629 5,353,888 2,676,944 1,338,472 669,236 334,618 167,309 501,928 250,964 125,482 62,741 188,224 94,112 47,056 23,528 11,764 5,882 2,941 8,824 4,412 2,206 1,103 3,310 1,655 4,966 2,483 7,450 3,725 11,176 5,588 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56

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 #67,683,679 Browse Full Index Next Integer #67,683,681 →