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Atlas › Integer Profiles › Node 77,065,448

77,065,448

23 × 61 × 79 × 1999
Deficient Even Composite

Prime Factor Structure

Factorization String 2^3 × 61 × 79 × 1999
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 148,800,000
Proper Divisor Sum 71,734,552
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #77065447 ← → #77065451

Radix Representation

Decimal 77065448
Binary 100100101111110110011101000 (27 bits)
Octal 0o445766350
Hexadecimal 0x497ECE8

Divisor Catalog (32)

1 2 4 8 61 79 122 158 244 316 488 632 1,999 3,998 4,819 7,996 9,638 15,992 19,276 38,552 121,939 157,921 243,878 315,842 487,756 631,684 975,512 1,263,368 9,633,181 19,266,362 38,532,724 77,065,448

Collatz Trajectory (148 steps to reach 1)

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

77,065,448 38,532,724 19,266,362 9,633,181 28,899,544 14,449,772 7,224,886 3,612,443 10,837,330 5,418,665 16,255,996 8,127,998 4,063,999 12,191,998 6,095,999 18,287,998 9,143,999 27,431,998 13,715,999 41,147,998 20,573,999 61,721,998 30,860,999 92,582,998 46,291,499 138,874,498 69,437,249 208,311,748 104,155,874 52,077,937 156,233,812 78,116,906 39,058,453 117,175,360 58,587,680 29,293,840 14,646,920 7,323,460 3,661,730 1,830,865 5,492,596 2,746,298 1,373,149 4,119,448 2,059,724 1,029,862 514,931 1,544,794 772,397 2,317,192 1,158,596 579,298 289,649 868,948 434,474 217,237 651,712 325,856 162,928 81,464

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