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Atlas › Integer Profiles › Node 57,796,815

57,796,815

3 × 5 × 23 × 233 × 719
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 23 × 233 × 719
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 97,044,480
Proper Divisor Sum 39,247,665
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #57796789 ← → #57796819

Radix Representation

Decimal 57796815
Binary 11011100011110100011001111 (26 bits)
Octal 0o334364317
Hexadecimal 0x371E8CF

Divisor Catalog (32)

1 3 5 15 23 69 115 233 345 699 719 1,165 2,157 3,495 3,595 5,359 10,785 16,077 16,537 26,795 49,611 80,385 82,685 167,527 248,055 502,581 837,635 2,512,905 3,853,121 11,559,363 19,265,605 57,796,815

Collatz Trajectory (375 steps to reach 1)

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

57,796,815 173,390,446 86,695,223 260,085,670 130,042,835 390,128,506 195,064,253 585,192,760 292,596,380 146,298,190 73,149,095 219,447,286 109,723,643 329,170,930 164,585,465 493,756,396 246,878,198 123,439,099 370,317,298 185,158,649 555,475,948 277,737,974 138,868,987 416,606,962 208,303,481 624,910,444 312,455,222 156,227,611 468,682,834 234,341,417 703,024,252 351,512,126 175,756,063 527,268,190 263,634,095 790,902,286 395,451,143 1,186,353,430 593,176,715 1,779,530,146 889,765,073 2,669,295,220 1,334,647,610 667,323,805 2,001,971,416 1,000,985,708 500,492,854 250,246,427 750,739,282 375,369,641 1,126,108,924 563,054,462 281,527,231 844,581,694 422,290,847 1,266,872,542 633,436,271 1,900,308,814 950,154,407 2,850,463,222

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