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Atlas › Integer Profiles › Node 77,005,803

77,005,803

3 × 72 × 19 × 79 × 349
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7^2 × 19 × 79 × 349
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 127,680,000
Proper Divisor Sum 50,674,197
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #77005793 ← → #77005811

Radix Representation

Decimal 77005803
Binary 100100101110000001111101011 (27 bits)
Octal 0o445601753
Hexadecimal 0x49703EB

Divisor Catalog (48)

1 3 7 19 21 49 57 79 133 147 237 349 399 553 931 1,047 1,501 1,659 2,443 2,793 3,871 4,503 6,631 7,329 10,507 11,613 17,101 19,893 27,571 31,521 46,417 51,303 73,549 82,713 139,251 192,997 220,647 324,919 523,849 578,991 974,757 1,350,979 1,571,547 3,666,943 4,052,937 11,000,829 25,668,601 77,005,803

Collatz Trajectory (241 steps to reach 1)

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

77,005,803 231,017,410 115,508,705 346,526,116 173,263,058 86,631,529 259,894,588 129,947,294 64,973,647 194,920,942 97,460,471 292,381,414 146,190,707 438,572,122 219,286,061 657,858,184 328,929,092 164,464,546 82,232,273 246,696,820 123,348,410 61,674,205 185,022,616 92,511,308 46,255,654 23,127,827 69,383,482 34,691,741 104,075,224 52,037,612 26,018,806 13,009,403 39,028,210 19,514,105 58,542,316 29,271,158 14,635,579 43,906,738 21,953,369 65,860,108 32,930,054 16,465,027 49,395,082 24,697,541 74,092,624 37,046,312 18,523,156 9,261,578 4,630,789 13,892,368 6,946,184 3,473,092 1,736,546 868,273 2,604,820 1,302,410 651,205 1,953,616 976,808 488,404

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