7,903,402

2 × 13 × 17 × 17881

Starting at 7,903,402, the Collatz iteration reaches 1 after 124 steps. The first transition is 3951701; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 17 × 17881

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,518,792

Proper Divisor Sum 5,615,390

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #7903391 ← → #7903417

Radix Representation

Decimal	7903402
Binary	11110001001100010101010 (23 bits)
Octal	0o36114252
Hexadecimal	0x7898AA

Divisor Catalog (16)

1 2 13 17 26 34 221 442 17,881 35,762 232,453 303,977 464,906 607,954 3,951,701 7,903,402

Collatz Trajectory (124 steps to reach 1)

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

7,903,402 3,951,701 11,855,104 5,927,552 2,963,776 1,481,888 740,944 370,472 185,236 92,618 46,309 138,928 69,464 34,732 17,366 8,683 26,050 13,025 39,076 19,538 9,769 29,308 14,654 7,327 21,982 10,991 32,974 16,487 49,462 24,731 74,194 37,097 111,292 55,646 27,823 83,470 41,735 125,206 62,603 187,810 93,905 281,716 140,858 70,429 211,288 105,644 52,822 26,411 79,234 39,617 118,852 59,426 29,713 89,140 44,570 22,285 66,856 33,428 16,714 8,357

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