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Atlas › Integer Profiles › Node 5,404,282

5,404,282

2 × 132 × 59 × 271
Deficient Even Composite

5,404,282 factors as 2 × 13^2 × 59 × 271. Its 24 positive divisors give a proper-divisor sum of 3,555,398, so this integer is deficient. The Collatz stopping time is 170 steps.

Prime Factor Structure

Factorization String 2 × 13^2 × 59 × 271
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,959,680
Proper Divisor Sum 3,555,398
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #5404279 ← → #5404291

Radix Representation

Decimal 5404282
Binary 10100100111011001111010 (23 bits)
Octal 0o24473172
Hexadecimal 0x52767A

Divisor Catalog (24)

1 2 13 26 59 118 169 271 338 542 767 1,534 3,523 7,046 9,971 15,989 19,942 31,978 45,799 91,598 207,857 415,714 2,702,141 5,404,282

Collatz Trajectory (170 steps to reach 1)

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

5,404,282 2,702,141 8,106,424 4,053,212 2,026,606 1,013,303 3,039,910 1,519,955 4,559,866 2,279,933 6,839,800 3,419,900 1,709,950 854,975 2,564,926 1,282,463 3,847,390 1,923,695 5,771,086 2,885,543 8,656,630 4,328,315 12,984,946 6,492,473 19,477,420 9,738,710 4,869,355 14,608,066 7,304,033 21,912,100 10,956,050 5,478,025 16,434,076 8,217,038 4,108,519 12,325,558 6,162,779 18,488,338 9,244,169 27,732,508 13,866,254 6,933,127 20,799,382 10,399,691 31,199,074 15,599,537 46,798,612 23,399,306 11,699,653 35,098,960 17,549,480 8,774,740 4,387,370 2,193,685 6,581,056 3,290,528 1,645,264 822,632 411,316 205,658

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