λ
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Atlas › Integer Profiles › Node 30,077,606

30,077,606

2 × 132 × 23 × 53 × 73
Deficient Even Composite

30,077,606 factors as 2 × 13^2 × 23 × 53 × 73. Its 48 positive divisors give a proper-divisor sum of 22,573,690, so this integer is deficient. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2 × 13^2 × 23 × 53 × 73
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 52,651,296
Proper Divisor Sum 22,573,690
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #30077599 ← → #30077609

Radix Representation

Decimal 30077606
Binary 1110010101111001010100110 (25 bits)
Octal 0o162571246
Hexadecimal 0x1CAF2A6

Divisor Catalog (48)

1 2 13 23 26 46 53 73 106 146 169 299 338 598 689 949 1,219 1,378 1,679 1,898 2,438 3,358 3,869 3,887 7,738 7,774 8,957 12,337 15,847 17,914 21,827 24,674 31,694 43,654 50,297 88,987 100,594 177,974 206,011 283,751 412,022 567,502 653,861 1,156,831 1,307,722 2,313,662 15,038,803 30,077,606

Collatz Trajectory (87 steps to reach 1)

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

30,077,606 15,038,803 45,116,410 22,558,205 67,674,616 33,837,308 16,918,654 8,459,327 25,377,982 12,688,991 38,066,974 19,033,487 57,100,462 28,550,231 85,650,694 42,825,347 128,476,042 64,238,021 192,714,064 96,357,032 48,178,516 24,089,258 12,044,629 36,133,888 18,066,944 9,033,472 4,516,736 2,258,368 1,129,184 564,592 282,296 141,148 70,574 35,287 105,862 52,931 158,794 79,397 238,192 119,096 59,548 29,774 14,887 44,662 22,331 66,994 33,497 100,492 50,246 25,123 75,370 37,685 113,056 56,528 28,264 14,132 7,066 3,533 10,600 5,300

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