78,768,137

7² × 1607513

78,768,137 factors as 7^2 × 1607513. Its 6 positive divisors give a proper-divisor sum of 12,860,161, so this integer is deficient. The Collatz stopping time is 241 steps.

Prime Factor Structure

Factorization String 7^2 × 1607513

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 91,628,298

Proper Divisor Sum 12,860,161

Digit Sum / Digital Root 47 (Root: 2)

Adjacent Primes #78768113 ← → #78768149

Radix Representation

Decimal	78768137
Binary	100101100011110100000001001 (27 bits)
Octal	0o454364011
Hexadecimal	0x4B1E809

Divisor Catalog (6)

1 7 49 1,607,513 11,252,591 78,768,137

Collatz Trajectory (241 steps to reach 1)

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

78,768,137 236,304,412 118,152,206 59,076,103 177,228,310 88,614,155 265,842,466 132,921,233 398,763,700 199,381,850 99,690,925 299,072,776 149,536,388 74,768,194 37,384,097 112,152,292 56,076,146 28,038,073 84,114,220 42,057,110 21,028,555 63,085,666 31,542,833 94,628,500 47,314,250 23,657,125 70,971,376 35,485,688 17,742,844 8,871,422 4,435,711 13,307,134 6,653,567 19,960,702 9,980,351 29,941,054 14,970,527 44,911,582 22,455,791 67,367,374 33,683,687 101,051,062 50,525,531 151,576,594 75,788,297 227,364,892 113,682,446 56,841,223 170,523,670 85,261,835 255,785,506 127,892,753 383,678,260 191,839,130 95,919,565 287,758,696 143,879,348 71,939,674 35,969,837 107,909,512

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