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Atlas › Integer Profiles › Node 78,033,608

78,033,608

23 × 19 × 349 × 1471
Deficient Even Composite

78,033,608 factors as 2^3 × 19 × 349 × 1471. Its 32 positive divisors give a proper-divisor sum of 76,526,392, so this integer is deficient. The Collatz stopping time is 272 steps.

Prime Factor Structure

Factorization String 2^3 × 19 × 349 × 1471
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 154,560,000
Proper Divisor Sum 76,526,392
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #78033607 ← → #78033611

Radix Representation

Decimal 78033608
Binary 100101001101011001011001000 (27 bits)
Octal 0o451531310
Hexadecimal 0x4A6B2C8

Divisor Catalog (32)

1 2 4 8 19 38 76 152 349 698 1,396 1,471 2,792 2,942 5,884 6,631 11,768 13,262 26,524 27,949 53,048 55,898 111,796 223,592 513,379 1,026,758 2,053,516 4,107,032 9,754,201 19,508,402 39,016,804 78,033,608

Collatz Trajectory (272 steps to reach 1)

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

78,033,608 39,016,804 19,508,402 9,754,201 29,262,604 14,631,302 7,315,651 21,946,954 10,973,477 32,920,432 16,460,216 8,230,108 4,115,054 2,057,527 6,172,582 3,086,291 9,258,874 4,629,437 13,888,312 6,944,156 3,472,078 1,736,039 5,208,118 2,604,059 7,812,178 3,906,089 11,718,268 5,859,134 2,929,567 8,788,702 4,394,351 13,183,054 6,591,527 19,774,582 9,887,291 29,661,874 14,830,937 44,492,812 22,246,406 11,123,203 33,369,610 16,684,805 50,054,416 25,027,208 12,513,604 6,256,802 3,128,401 9,385,204 4,692,602 2,346,301 7,038,904 3,519,452 1,759,726 879,863 2,639,590 1,319,795 3,959,386 1,979,693 5,939,080 2,969,540

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