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Atlas › Integer Profiles › Node 44,976,141

44,976,141

35 × 7 × 137 × 193
Deficient Odd Composite

44,976,141 factors as 3^5 × 7 × 137 × 193. Its 48 positive divisors give a proper-divisor sum of 32,983,923, so this integer is deficient. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 3^5 × 7 × 137 × 193
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 77,960,064
Proper Divisor Sum 32,983,923
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #44976121 ← → #44976149

Radix Representation

Decimal 44976141
Binary 10101011100100100000001101 (26 bits)
Octal 0o253444015
Hexadecimal 0x2AE480D

Divisor Catalog (48)

1 3 7 9 21 27 63 81 137 189 193 243 411 567 579 959 1,233 1,351 1,701 1,737 2,877 3,699 4,053 5,211 8,631 11,097 12,159 15,633 25,893 26,441 33,291 36,477 46,899 77,679 79,323 109,431 185,087 233,037 237,969 328,293 555,261 713,907 1,665,783 2,141,721 4,997,349 6,425,163 14,992,047 44,976,141

Collatz Trajectory (160 steps to reach 1)

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

44,976,141 134,928,424 67,464,212 33,732,106 16,866,053 50,598,160 25,299,080 12,649,540 6,324,770 3,162,385 9,487,156 4,743,578 2,371,789 7,115,368 3,557,684 1,778,842 889,421 2,668,264 1,334,132 667,066 333,533 1,000,600 500,300 250,150 125,075 375,226 187,613 562,840 281,420 140,710 70,355 211,066 105,533 316,600 158,300 79,150 39,575 118,726 59,363 178,090 89,045 267,136 133,568 66,784 33,392 16,696 8,348 4,174 2,087 6,262 3,131 9,394 4,697 14,092 7,046 3,523 10,570 5,285 15,856 7,928

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