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Atlas › Integer Profiles › Node 28,528,360

28,528,360

23 × 5 × 7 × 139 × 733
Abundant Even Composite

28,528,360 factors as 2^3 × 5 × 7 × 139 × 733. Its 64 positive divisors give a proper-divisor sum of 45,458,840, so this integer is abundant. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 139 × 733
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 73,987,200
Proper Divisor Sum 45,458,840
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #28528351 ← → #28528387

Radix Representation

Decimal 28528360
Binary 1101100110100111011101000 (25 bits)
Octal 0o154647350
Hexadecimal 0x1B34EE8

Divisor Catalog (60 of 64)

1 2 4 5 7 8 10 14 20 28 35 40 56 70 139 140 278 280 556 695 733 973 1,112 1,390 1,466 1,946 2,780 2,932 3,665 3,892 4,865 5,131 5,560 5,864 7,330 7,784 9,730 10,262 14,660 19,460 20,524 25,655 29,320 38,920 41,048 51,310 101,887 102,620 203,774 205,240 407,548 509,435 713,209 815,096 1,018,870 1,426,418 2,037,740 2,852,836 3,566,045 4,075,480

Collatz Trajectory (74 steps to reach 1)

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

28,528,360 14,264,180 7,132,090 3,566,045 10,698,136 5,349,068 2,674,534 1,337,267 4,011,802 2,005,901 6,017,704 3,008,852 1,504,426 752,213 2,256,640 1,128,320 564,160 282,080 141,040 70,520 35,260 17,630 8,815 26,446 13,223 39,670 19,835 59,506 29,753 89,260 44,630 22,315 66,946 33,473 100,420 50,210 25,105 75,316 37,658 18,829 56,488 28,244 14,122 7,061 21,184 10,592 5,296 2,648 1,324 662 331 994 497 1,492 746 373 1,120 560 280 140

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