λ
Ratio Atlas

76,968,830

2 × 5 × 1033 × 7451
Deficient Even Composite

76,968,830 factors as 2 × 5 × 1033 × 7451. Its 16 positive divisors give a proper-divisor sum of 61,727,794, so this integer is deficient. The Collatz stopping time is 303 steps.

Prime Factor Structure

Factorization String 2 × 5 × 1033 × 7451
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 138,696,624
Proper Divisor Sum 61,727,794
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #76968803 ← → #76968841

Radix Representation

Decimal 76968830
Binary 100100101100111001101111110 (27 bits)
Octal 0o445471576
Hexadecimal 0x496737E

Divisor Catalog (16)

Collatz Trajectory (303 steps to reach 1)

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

76,968,830 38,484,415 115,453,246 57,726,623 173,179,870 86,589,935 259,769,806 129,884,903 389,654,710 194,827,355 584,482,066 292,241,033 876,723,100 438,361,550 219,180,775 657,542,326 328,771,163 986,313,490 493,156,745 1,479,470,236 739,735,118 369,867,559 1,109,602,678 554,801,339 1,664,404,018 832,202,009 2,496,606,028 1,248,303,014 624,151,507 1,872,454,522 936,227,261 2,808,681,784 1,404,340,892 702,170,446 351,085,223 1,053,255,670 526,627,835 1,579,883,506 789,941,753 2,369,825,260 1,184,912,630 592,456,315 1,777,368,946 888,684,473 2,666,053,420 1,333,026,710 666,513,355 1,999,540,066 999,770,033 2,999,310,100 1,499,655,050 749,827,525 2,249,482,576 1,124,741,288 562,370,644 281,185,322 140,592,661 421,777,984 210,888,992 105,444,496

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