λ
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28,437,460

22 × 5 × 37 × 83 × 463
Abundant Even Composite

28,437,460 factors as 2^2 × 5 × 37 × 83 × 463. Its 48 positive divisors give a proper-divisor sum of 33,768,236, so this integer is abundant. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 37 × 83 × 463
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 62,205,696
Proper Divisor Sum 33,768,236
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #28437443 ← → #28437523

Radix Representation

Decimal 28437460
Binary 1101100011110101111010100 (25 bits)
Octal 0o154365724
Hexadecimal 0x1B1EBD4

Divisor Catalog (48)

1 2 4 5 10 20 37 74 83 148 166 185 332 370 415 463 740 830 926 1,660 1,852 2,315 3,071 4,630 6,142 9,260 12,284 15,355 17,131 30,710 34,262 38,429 61,420 68,524 76,858 85,655 153,716 171,310 192,145 342,620 384,290 768,580 1,421,873 2,843,746 5,687,492 7,109,365 14,218,730 28,437,460

Collatz Trajectory (162 steps to reach 1)

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

28,437,460 14,218,730 7,109,365 21,328,096 10,664,048 5,332,024 2,666,012 1,333,006 666,503 1,999,510 999,755 2,999,266 1,499,633 4,498,900 2,249,450 1,124,725 3,374,176 1,687,088 843,544 421,772 210,886 105,443 316,330 158,165 474,496 237,248 118,624 59,312 29,656 14,828 7,414 3,707 11,122 5,561 16,684 8,342 4,171 12,514 6,257 18,772 9,386 4,693 14,080 7,040 3,520 1,760 880 440 220 110 55 166 83 250 125 376 188 94 47 142

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