λ
Ratio Atlas
Atlas › Integer Profiles › Node 50,551,072

50,551,072

25 × 11 × 13 × 11047
Abundant Even Composite

50,551,072 factors as 2^5 × 11 × 13 × 11047. Its 48 positive divisors give a proper-divisor sum of 66,380,960, so this integer is abundant. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2^5 × 11 × 13 × 11047
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 116,932,032
Proper Divisor Sum 66,380,960
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #50551069 ← → #50551091

Radix Representation

Decimal 50551072
Binary 11000000110101100100100000 (26 bits)
Octal 0o300654440
Hexadecimal 0x3035920

Divisor Catalog (48)

1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 572 1,144 2,288 4,576 11,047 22,094 44,188 88,376 121,517 143,611 176,752 243,034 287,222 353,504 486,068 574,444 972,136 1,148,888 1,579,721 1,944,272 2,297,776 3,159,442 3,888,544 4,595,552 6,318,884 12,637,768 25,275,536 50,551,072

Collatz Trajectory (155 steps to reach 1)

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

50,551,072 25,275,536 12,637,768 6,318,884 3,159,442 1,579,721 4,739,164 2,369,582 1,184,791 3,554,374 1,777,187 5,331,562 2,665,781 7,997,344 3,998,672 1,999,336 999,668 499,834 249,917 749,752 374,876 187,438 93,719 281,158 140,579 421,738 210,869 632,608 316,304 158,152 79,076 39,538 19,769 59,308 29,654 14,827 44,482 22,241 66,724 33,362 16,681 50,044 25,022 12,511 37,534 18,767 56,302 28,151 84,454 42,227 126,682 63,341 190,024 95,012 47,506 23,753 71,260 35,630 17,815 53,446

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150
← Previous Integer #50,551,071 Browse Full Index Next Integer #50,551,073 →