7,976,283

3 × 7 × 67 × 5669

Starting at 7,976,283, the Collatz iteration reaches 1 after 124 steps. The first transition is 23928850; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 67 × 5669

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,337,920

Proper Divisor Sum 4,361,637

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #7976279 ← → #7976303

Radix Representation

Decimal	7976283
Binary	11110011011010101011011 (23 bits)
Octal	0o36332533
Hexadecimal	0x79B55B

Divisor Catalog (16)

1 3 7 21 67 201 469 1,407 5,669 17,007 39,683 119,049 379,823 1,139,469 2,658,761 7,976,283

Collatz Trajectory (124 steps to reach 1)

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

7,976,283 23,928,850 11,964,425 35,893,276 17,946,638 8,973,319 26,919,958 13,459,979 40,379,938 20,189,969 60,569,908 30,284,954 15,142,477 45,427,432 22,713,716 11,356,858 5,678,429 17,035,288 8,517,644 4,258,822 2,129,411 6,388,234 3,194,117 9,582,352 4,791,176 2,395,588 1,197,794 598,897 1,796,692 898,346 449,173 1,347,520 673,760 336,880 168,440 84,220 42,110 21,055 63,166 31,583 94,750 47,375 142,126 71,063 213,190 106,595 319,786 159,893 479,680 239,840 119,920 59,960 29,980 14,990 7,495 22,486 11,243 33,730 16,865 50,596

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