77,005,241

61 × 173 × 7297

77,005,241 factors as 61 × 173 × 7297. Its 8 positive divisors give a proper-divisor sum of 1,725,583, so this integer is deficient. The Collatz stopping time is 241 steps.

Prime Factor Structure

Factorization String 61 × 173 × 7297

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 78,730,824

Proper Divisor Sum 1,725,583

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #77005231 ← → #77005249

Radix Representation

Decimal	77005241
Binary	100100101110000000110111001 (27 bits)
Octal	0o445600671
Hexadecimal	0x49701B9

Divisor Catalog (8)

1 61 173 7,297 10,553 445,117 1,262,381 77,005,241

Collatz Trajectory (241 steps to reach 1)

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

77,005,241 231,015,724 115,507,862 57,753,931 173,261,794 86,630,897 259,892,692 129,946,346 64,973,173 194,919,520 97,459,760 48,729,880 24,364,940 12,182,470 6,091,235 18,273,706 9,136,853 27,410,560 13,705,280 6,852,640 3,426,320 1,713,160 856,580 428,290 214,145 642,436 321,218 160,609 481,828 240,914 120,457 361,372 180,686 90,343 271,030 135,515 406,546 203,273 609,820 304,910 152,455 457,366 228,683 686,050 343,025 1,029,076 514,538 257,269 771,808 385,904 192,952 96,476 48,238 24,119 72,358 36,179 108,538 54,269 162,808 81,404

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