λ
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Atlas › Integer Profiles › Node 45,602,674

45,602,674

2 × 13 × 29 × 31 × 1951
Deficient Even Composite

45,602,674 factors as 2 × 13 × 29 × 31 × 1951. Its 32 positive divisors give a proper-divisor sum of 33,101,966, so this integer is deficient. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2 × 13 × 29 × 31 × 1951
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 78,704,640
Proper Divisor Sum 33,101,966
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #45602633 ← → #45602677

Radix Representation

Decimal 45602674
Binary 10101101111101011101110010 (26 bits)
Octal 0o255753562
Hexadecimal 0x2B7D772

Divisor Catalog (32)

1 2 13 26 29 31 58 62 377 403 754 806 899 1,798 1,951 3,902 11,687 23,374 25,363 50,726 56,579 60,481 113,158 120,962 735,527 786,253 1,471,054 1,572,506 1,753,949 3,507,898 22,801,337 45,602,674

Collatz Trajectory (103 steps to reach 1)

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

45,602,674 22,801,337 68,404,012 34,202,006 17,101,003 51,303,010 25,651,505 76,954,516 38,477,258 19,238,629 57,715,888 28,857,944 14,428,972 7,214,486 3,607,243 10,821,730 5,410,865 16,232,596 8,116,298 4,058,149 12,174,448 6,087,224 3,043,612 1,521,806 760,903 2,282,710 1,141,355 3,424,066 1,712,033 5,136,100 2,568,050 1,284,025 3,852,076 1,926,038 963,019 2,889,058 1,444,529 4,333,588 2,166,794 1,083,397 3,250,192 1,625,096 812,548 406,274 203,137 609,412 304,706 152,353 457,060 228,530 114,265 342,796 171,398 85,699 257,098 128,549 385,648 192,824 96,412 48,206

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