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Atlas › Integer Profiles › Node 49,210,576

49,210,576

24 × 43 × 71527
Deficient Even Composite

49,210,576 factors as 2^4 × 43 × 71527. Its 20 positive divisors give a proper-divisor sum of 48,353,616, so this integer is deficient. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 2^4 × 43 × 71527
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 97,564,192
Proper Divisor Sum 48,353,616
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #49210549 ← → #49210607

Radix Representation

Decimal 49210576
Binary 10111011101110010011010000 (26 bits)
Octal 0o273562320
Hexadecimal 0x2EEE4D0

Divisor Catalog (20)

1 2 4 8 16 43 86 172 344 688 71,527 143,054 286,108 572,216 1,144,432 3,075,661 6,151,322 12,302,644 24,605,288 49,210,576

Collatz Trajectory (80 steps to reach 1)

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

49,210,576 24,605,288 12,302,644 6,151,322 3,075,661 9,226,984 4,613,492 2,306,746 1,153,373 3,460,120 1,730,060 865,030 432,515 1,297,546 648,773 1,946,320 973,160 486,580 243,290 121,645 364,936 182,468 91,234 45,617 136,852 68,426 34,213 102,640 51,320 25,660 12,830 6,415 19,246 9,623 28,870 14,435 43,306 21,653 64,960 32,480 16,240 8,120 4,060 2,030 1,015 3,046 1,523 4,570 2,285 6,856 3,428 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448

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