λ
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Atlas › Integer Profiles › Node 1,653,232

1,653,232

24 × 7 × 29 × 509
Abundant Even Composite

1,653,232 factors as 2^4 × 7 × 29 × 509. Its 40 positive divisors give a proper-divisor sum of 2,141,168, so this integer is abundant. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 29 × 509
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 3,794,400
Proper Divisor Sum 2,141,168
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #1653227 ← → #1653251

Radix Representation

Decimal 1653232
Binary 110010011100111110000 (21 bits)
Octal 0o6234760
Hexadecimal 0x1939F0

Divisor Catalog (40)

1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 464 509 812 1,018 1,624 2,036 3,248 3,563 4,072 7,126 8,144 14,252 14,761 28,504 29,522 57,008 59,044 103,327 118,088 206,654 236,176 413,308 826,616 1,653,232

Collatz Trajectory (176 steps to reach 1)

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

1,653,232 826,616 413,308 206,654 103,327 309,982 154,991 464,974 232,487 697,462 348,731 1,046,194 523,097 1,569,292 784,646 392,323 1,176,970 588,485 1,765,456 882,728 441,364 220,682 110,341 331,024 165,512 82,756 41,378 20,689 62,068 31,034 15,517 46,552 23,276 11,638 5,819 17,458 8,729 26,188 13,094 6,547 19,642 9,821 29,464 14,732 7,366 3,683 11,050 5,525 16,576 8,288 4,144 2,072 1,036 518 259 778 389 1,168 584 292

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