7,918,155

3⁵ × 5 × 7³ × 19

Starting at 7,918,155, the Collatz iteration reaches 1 after 124 steps. The first transition is 23754466; the starting value is odd with 96 positive divisors.

Prime Factor Structure

Factorization String 3^5 × 5 × 7^3 × 19

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 17,472,000

Proper Divisor Sum 9,553,845

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7918153 ← → #7918159

Radix Representation

Decimal	7918155
Binary	11110001101001001001011 (23 bits)
Octal	0o36151113
Hexadecimal	0x78D24B

Divisor Catalog (60 of 96)

1 3 5 7 9 15 19 21 27 35 45 49 57 63 81 95 105 133 135 147 171 189 243 245 285 315 343 399 405 441 513 567 665 735 855 931 945 1,029 1,197 1,215 1,323 1,539 1,701 1,715 1,995 2,205 2,565 2,793 2,835 3,087 3,591 3,969 4,617 4,655 5,145 5,985 6,517 6,615 7,695 8,379

Collatz Trajectory (124 steps to reach 1)

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

7,918,155 23,754,466 11,877,233 35,631,700 17,815,850 8,907,925 26,723,776 13,361,888 6,680,944 3,340,472 1,670,236 835,118 417,559 1,252,678 626,339 1,879,018 939,509 2,818,528 1,409,264 704,632 352,316 176,158 88,079 264,238 132,119 396,358 198,179 594,538 297,269 891,808 445,904 222,952 111,476 55,738 27,869 83,608 41,804 20,902 10,451 31,354 15,677 47,032 23,516 11,758 5,879 17,638 8,819 26,458 13,229 39,688 19,844 9,922 4,961 14,884 7,442 3,721 11,164 5,582 2,791 8,374

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