77,202,070

2 × 5 × 11 × 701837

77,202,070 factors as 2 × 5 × 11 × 701837. Its 16 positive divisors give a proper-divisor sum of 74,394,938, so this integer is deficient. The Collatz stopping time is 241 steps.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 701837

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 151,597,008

Proper Divisor Sum 74,394,938

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #77201989 ← → #77202113

Radix Representation

Decimal	77202070
Binary	100100110100000001010010110 (27 bits)
Octal	0o446401226
Hexadecimal	0x49A0296

Divisor Catalog (16)

1 2 5 10 11 22 55 110 701,837 1,403,674 3,509,185 7,018,370 7,720,207 15,440,414 38,601,035 77,202,070

Collatz Trajectory (241 steps to reach 1)

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

77,202,070 38,601,035 115,803,106 57,901,553 173,704,660 86,852,330 43,426,165 130,278,496 65,139,248 32,569,624 16,284,812 8,142,406 4,071,203 12,213,610 6,106,805 18,320,416 9,160,208 4,580,104 2,290,052 1,145,026 572,513 1,717,540 858,770 429,385 1,288,156 644,078 322,039 966,118 483,059 1,449,178 724,589 2,173,768 1,086,884 543,442 271,721 815,164 407,582 203,791 611,374 305,687 917,062 458,531 1,375,594 687,797 2,063,392 1,031,696 515,848 257,924 128,962 64,481 193,444 96,722 48,361 145,084 72,542 36,271 108,814 54,407 163,222 81,611

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