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Atlas › Integer Profiles › Node 32,769,370

32,769,370

2 × 5 × 17 × 53 × 3637
Deficient Even Composite

32,769,370 factors as 2 × 5 × 17 × 53 × 3637. Its 32 positive divisors give a proper-divisor sum of 30,881,078, so this integer is deficient. The Collatz stopping time is 263 steps.

Prime Factor Structure

Factorization String 2 × 5 × 17 × 53 × 3637
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 63,650,448
Proper Divisor Sum 30,881,078
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #32769329 ← → #32769379

Radix Representation

Decimal 32769370
Binary 1111101000000010101011010 (25 bits)
Octal 0o175002532
Hexadecimal 0x1F4055A

Divisor Catalog (32)

1 2 5 10 17 34 53 85 106 170 265 530 901 1,802 3,637 4,505 7,274 9,010 18,185 36,370 61,829 123,658 192,761 309,145 385,522 618,290 963,805 1,927,610 3,276,937 6,553,874 16,384,685 32,769,370

Collatz Trajectory (263 steps to reach 1)

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

32,769,370 16,384,685 49,154,056 24,577,028 12,288,514 6,144,257 18,432,772 9,216,386 4,608,193 13,824,580 6,912,290 3,456,145 10,368,436 5,184,218 2,592,109 7,776,328 3,888,164 1,944,082 972,041 2,916,124 1,458,062 729,031 2,187,094 1,093,547 3,280,642 1,640,321 4,920,964 2,460,482 1,230,241 3,690,724 1,845,362 922,681 2,768,044 1,384,022 692,011 2,076,034 1,038,017 3,114,052 1,557,026 778,513 2,335,540 1,167,770 583,885 1,751,656 875,828 437,914 218,957 656,872 328,436 164,218 82,109 246,328 123,164 61,582 30,791 92,374 46,187 138,562 69,281 207,844

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