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Atlas › Integer Profiles › Node 77,884,792

77,884,792

23 × 97 × 167 × 601
Deficient Even Composite

Prime Factor Structure

Factorization String 2^3 × 97 × 167 × 601
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 148,669,920
Proper Divisor Sum 70,785,128
Digit Sum / Digital Root 52 (Root: 7)
Adjacent Primes #77884783 ← → #77884801

Radix Representation

Decimal 77884792
Binary 100101001000110110101111000 (27 bits)
Octal 0o451066570
Hexadecimal 0x4A46D78

Divisor Catalog (32)

1 2 4 8 97 167 194 334 388 601 668 776 1,202 1,336 2,404 4,808 16,199 32,398 58,297 64,796 100,367 116,594 129,592 200,734 233,188 401,468 466,376 802,936 9,735,599 19,471,198 38,942,396 77,884,792

Collatz Trajectory (254 steps to reach 1)

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

77,884,792 38,942,396 19,471,198 9,735,599 29,206,798 14,603,399 43,810,198 21,905,099 65,715,298 32,857,649 98,572,948 49,286,474 24,643,237 73,929,712 36,964,856 18,482,428 9,241,214 4,620,607 13,861,822 6,930,911 20,792,734 10,396,367 31,189,102 15,594,551 46,783,654 23,391,827 70,175,482 35,087,741 105,263,224 52,631,612 26,315,806 13,157,903 39,473,710 19,736,855 59,210,566 29,605,283 88,815,850 44,407,925 133,223,776 66,611,888 33,305,944 16,652,972 8,326,486 4,163,243 12,489,730 6,244,865 18,734,596 9,367,298 4,683,649 14,050,948 7,025,474 3,512,737 10,538,212 5,269,106 2,634,553 7,903,660 3,951,830 1,975,915 5,927,746 2,963,873

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