λ
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Atlas › Integer Profiles › Node 28,495,210

28,495,210

2 × 5 × 113 × 151 × 167
Deficient Even Composite

28,495,210 factors as 2 × 5 × 113 × 151 × 167. Its 32 positive divisors give a proper-divisor sum of 23,904,662, so this integer is deficient. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 2 × 5 × 113 × 151 × 167
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 52,399,872
Proper Divisor Sum 23,904,662
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #28495199 ← → #28495223

Radix Representation

Decimal 28495210
Binary 1101100101100110101101010 (25 bits)
Octal 0o154546552
Hexadecimal 0x1B2CD6A

Divisor Catalog (32)

1 2 5 10 113 151 167 226 302 334 565 755 835 1,130 1,510 1,670 17,063 18,871 25,217 34,126 37,742 50,434 85,315 94,355 126,085 170,630 188,710 252,170 2,849,521 5,699,042 14,247,605 28,495,210

Collatz Trajectory (162 steps to reach 1)

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

28,495,210 14,247,605 42,742,816 21,371,408 10,685,704 5,342,852 2,671,426 1,335,713 4,007,140 2,003,570 1,001,785 3,005,356 1,502,678 751,339 2,254,018 1,127,009 3,381,028 1,690,514 845,257 2,535,772 1,267,886 633,943 1,901,830 950,915 2,852,746 1,426,373 4,279,120 2,139,560 1,069,780 534,890 267,445 802,336 401,168 200,584 100,292 50,146 25,073 75,220 37,610 18,805 56,416 28,208 14,104 7,052 3,526 1,763 5,290 2,645 7,936 3,968 1,984 992 496 248 124 62 31 94 47 142

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